Using the linear combination method, find the solution to this system of equations. Be sure to show all your steps in your work!

5x+4y=-14

3x+6y=6

Answers

Answer 1

Answer:

[tex]x=-6; y=4[/tex]

Step-by-step explanation:

Step 0: retwite the second equation by dividing LHS and RHS by 3.

[tex]x+2y=2[/tex]

Step 1: combine them as the first minus twice the second to eliminate y

[tex]I - 2\times II : 5x+4y -2x-4y=-14-4 \rightarrow 3x=-18 \rightarrow x= -6[/tex]

Step 2a: At this point I would replace the value of x in the second equation to easily solve for y.  That will give you [tex]-6+2y=2 \rightarrow y=4[/tex]. I do imagine you're required to use the same method to solve for y even if it's slower so...

Step 2b: Combine them again, taking the first minus 5 times the second to eliminate x:

[tex]I-5II: 5x+4y-5x-10y=-14-10 \rightarrow -6y=-24 \rightarrow y=4[/tex]


Related Questions

Which picture shows 1/4?

Answers

Answer:

The bottom left picture is the answer. It contains 4 equally sized parts and only has 1 shaded part, so that's 1 shaded part / 4 parts, or 1/4. The top left picture have 5 parts instead of 4 (1/5), the parts in the top right picture aren't equally sized, and the bottom right picture has 2 parts shaded instead of 1 (1/2)

Hope this helps!

Answer:

1

Step-by-step explanation:

because in 1 there is 1 dark box and 4 light box while others are irregular

a date in march is chosen at random, then the spinner below is spun once. find the probability of an odd number, then blue?

Answers

Answer:

The probability of an odd number is 17/31 and the probabilty of blue is 1/3

Step-by-step explanation:

i ready 3 5/3 x (-8 1/3)=

Answers

Answer:

-350/9 (improper fraction)

-38 8/9 (mixed number)

Step-by-step explanation:

Converting to improper fractions :

3 5/33 x 3/3 + 5/39/3 + 5/314/3

    2. -8 1/3

-(8 x 3/3 + 1/3)-(24/3 + 1/3)-25/3

Multiplying them :

14/3 x -25/3-350/9 (improper fraction)-38 8/9 (mixed number)

Answer:

[tex]-38 \frac{8}{9}[/tex]

Step-by-step explanation:

[tex]3 \frac{5}{3} \times -8 \frac{1}{3}[/tex]

Convert to improper fractions:

[tex]\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}[/tex]

[tex]\implies \dfrac{14}{3} \times -\dfrac{25}{3}[/tex]

Multiply the numerators and denominators:

[tex]\implies \dfrac {14 \times (-25)}{3 \times 3}[/tex]

[tex]\implies -\dfrac{350}{9}[/tex]

Convert back into a mixed number:

[tex]\implies -38 \frac{8}{9}[/tex]

Answer answer please

Answers

Answer:

c

Step-by-step explanation:

dont trust me but it seems like c

How would adding a French class change the tree diagram above? How would that change the number of possible outcomes?

Answers

no pictures show need to add some

Which prism has a volume of 5 cubic units?

Answers

Answer:

1  1/4 units by

4 units by

1 unit

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so  1 and one fourth units by 4 units by 1  unit

Over a period of 12 hours, the temperature dropped 60°F. What was the average change in temperature in one hour?​

Answers

Answer:

I think 40 I could be wrong

Answer:

5 degrees dropped per hrhour

Step-by-step explanation:

60/12 is equal to 5/1.

This is just a matter of simplifying.

2. Triangle ABC has side lengths of
5 units, 13 units, and 12 units.
Use the Converse of the Pythagorean
Theorem to prove that ABC is a right
triangle. Write numbers 1-4 to order
the steps.
52 + 122 = 132
a²+ 62=c²
169 = 169
25 + 144 = 169
Therefore, triangle ABC is a right
triangle.

Answers

Answer:

1- a²+b²=c²

2- 5²+12²=13²

3- 25+144=169

4- 169=169

What is the slope of the line passing through (9,-6) and (5, 10)?

Answers

Answer:

-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=10+6/5-9

m=16/-4

m=-4

Answer: 4/-4

Step-by-step explanation:

Slope Formula= (y2-y1/x2-x1)

10-6/5-9

4/-4

A triangle has sides with lengths of 8 meters, 12 meters, and 13 meters. is it a right triangle?

yes or no ?

Answers

Answer:

no

Step-by-step explanation:

sides of right triangle are in Pythagorean Theory  ex 3,4,5 or 5,12,13  0r 8,15,17

Triangle x y z is reflected over its hypotenuse to form kite x y z y prime. hypotenuse x z has a length of 13, x y is 5, and y z is 12. triangle xyz is reflected over its hypotenuse to create a kite. what is the approximate distance from y to y’? round to the nearest tenth. 4.6 units 5.4 units 8.0 units 9.2 units

Answers

The approximate distance from y to y’ in the given triangle x y z reflected over its hypotenuse to form kite x y z y is  9.2 units.

Value of angle X

The value of angle X in ΔXYZ is calculated as follows;

tanx = 12/5

tanx = 2.4

x = tan⁻¹(.24)

x = 67.38⁰

Vertical height

The height from vertex Y to horizontal line XZ is calculated as follows;

sinx = h/5

h = 5(sinx)

h = 5(sin67.38)

h = 4.62

Distance between Y and Y'

YY' = 4.62 + 4.62 = 9.24 units

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Answer:

A ✔️

Step-by-step explanation:

"4.6"

6. Clark wants to transform a shape on the
coordinate plane by using a rigid transformation.
Of the choices below, list any that Clark can use.
I.
Dilation
II. Rotation
III. Translation
IV. Reflection

Answers

Answer = 2,3,and 4

a rigid transformation is a geometric transformation that preserves the distance between every pair of points. The rigid transformations include rotations, translations, reflections, or any sequence of these (dilation changes the points for a bigger or smaller shape so it is NOT rigid)

I need this answered please

Answers

Answer:

see the attachment!

i hope this can help you!

Which value is the closest estimate of this product? 895x7

A. 5,600
B. 5,900
C. 6,300
D. 6,600​

Answers

The value is the closest estimate of this product is 6,300.

What are the rules for rounding to the nearest hundred?

Rules for Rounding Numbers to Nearest 100. Rule 1: While round off to nearest 100, if the digit in the tens place is between 0 to 4 or <5, then the tens place is replaced by 0. Rule 2: If the digit in the unit’s place is equal to 5 or greater than 5, then the tens place is replaced by 0 and the hundreds place is increased by 1.

So 6,265 is between 6,200 and 6,300

6,265 rounded to the nearest hundred is 6,300

Therefore, The value is the closest estimate of this product is 6,300.

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what is the difference between -4-(-13)

Answers

Answer:

9

Step-by-step explanation:

- 4 - ( - 13 )

= - 4 + 13

= 13 - 4

= 9

Find the area of this triangle.
6 ft
10 ft

Answers

The area of this figure would be 30 ft^2 hope this helped!!

What is a nonagon with a perimeter of 144 inches?

Answers

Answer: Regular nonagon

Step-by-step explanation: In image

What is the domain and range for the following function and its inverse?

Answers

Answer:

I have recently learned about this and maybe I could help you if you have given the function but also let explain it.

Step-by-step explanation:

Domain is also known as pre image and also 'x' I.e first element.

Range is also known image and also y I.e second element .

And about inverse we just have to write second element at first and first element at second.

Hope it helps

There are 13 buttons in a bag 9 buttons are white. 4 buttons are black Carol takes a button at random from the bag, and keeps it She now takes another button from the bag. Work out the probability that Carol takes a button of each colour.​

Answers

Step-by-step explanation:

Answer is case 1st:

P(of white button) = 9/13

P(of black button) = 4/12

Case 2nd

P(of black button) = 4/13

P(of white button) = 9/12

Explanation

Given: A Question

To find: Probability

Solution :Case 1st

If carol takes the first button is white

P(of picking a white button) = 9/13

And

P(of picking a black button) = 4/12

Case 2nd

If carol takes the first button is black

So, P(of picking a black button) = 4/13

And P( of picking a white button) = 9/12

Answer is Case 1st
P(of white button) = 9/13
P(of black button) = 4/12
Case 2nd
P(of black button) = 4/13
P(of white button) = 9/12

Explanation: Given : A Question
To find : Probability
Solution : Case 1st
If carol takes the first button is white
P(of picking a white button) = 9/13
And
P(of picking a black button) = 4/12
Case 2nd
If carol takes the first button is black
So, P(of picking a black button) = 4/13
And P(of picking a white button) = 9/12

I hope this helps.

please help, much appreciated!!!! (will mark brainliest)

Answers

Answer:

16 years

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

a bookstore carries 50 magazines. 34% of the magazines are womens magazines. how many woman’s magazines does the bookstore carry?

Answers

Answer:

50 * 34%

50 * 34/100

34 / 2 = 17

Beginning with the graph of f(x) = x2, what transformations are needed to form g(x) = 3(x + 2)2 – 1?

Answers

Answer:

g(x)=(x+3)2 we must find x? so x+3=0 x=-3 we transformation -3 on left

Step-by-step explanation:

can u answer my queston pleas on my acc

The transformations applied to f(x)=x² to form g(x)=3(x+2)² −1 are: Horizontal shift left by 2 units.

Vertical stretch by a factor of 3.

Vertical shift down by 1 unit.

To transform the graph of  f(x)=x² into g(x)=3(x+2)² −1, we can identify a series of transformations that have been applied to the original function.

The term (x+2)² inside the function g(x) indicates a horizontal shift to the left by 2 units compared to f(x).

This is a shift in the negative direction on the x-axis.

The coefficient 3 in front of (x+2)² indicates that the graph is vertically stretched by a factor of 3 compared to the graph of f(x).

The term −1 subtracted at the end of the function g(x) indicates a vertical shift downward by 1 unit compared to f(x).

This is a shift in the negative direction on the y-axis.

Hence, the transformations applied to f(x)=x² to obtain g(x)=3(x+2)² −1 are horizontal shift to the left by 2 units, vertical stretch by a factor of 3 and vertical shift downward by 1 unit.

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A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
a) Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
b) Find a sinusoidal function for the height h(t).
c) For how many seconds is the height of the mass above 17 mm over one cycle?

(would anyone like to talk not to be weird or anything lol)

Answers

The answer would be C second height mass

A ticket resale service sells sports championship tickets at a markup of 250%. If a ticket originally costs $150, how much does the resale service charge after adding its markup to the price?

Answers

333 dollars I believe would be the answer.

Use circle E to answer the following questions

Answers

Based on the circle theorems, the measures in circle E are:

m(AB) = 40°

m∠AEB = 40°

m∠ACB = 40°

m(ADB) = 320°

What are the Circle Theorems?

The theorems are:

Measure of the central angle = measure of intercepted arcMeasure of inscribed angle =1/2( measure of intercepted arc)Measure of inscribed angles with same intercepted arcs are congruent.

Using the circle theorems, given the inscribed angle, m∠ADB = 20°, we have:

m(AB) = 2(m∠ADB) = 2(20) = 40°

m∠AEB = m(AB) = 40°

m∠ACB = m∠AEB = m(AB) = 40°

m(ADB) = 360° - 40° = 320°

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Maria plans to make a triangular center island along the road. The said plan is illustrated at the image attached. She was able to put a fence around the lot which measures LT = 3m and OL = 3m. The said land area is an example of an oblique triangle which does not contain any right angle. If m∠T = 70 and m∠L = 65, what could be the measurement of ∠O and TO (round off to the nearest whole number)?

WITH SOLUTION!!!​

Answers

To find ∠O

The sum of interior angles of triangle sum up to 180°

Hence,

∠O + 70° + 65° = 180°

∠O = 180° - 65° - 70°

∠O = 45°

∴ The angle ∠O is 45 degrees.

To find length of TO

Use cosine rule: a² = b² + c² - 2bc cos(A)

Hence,

TO² = 3² + 3² - 2(3)(3) cos(65)

TO² = 10.39287129

To = √10.4

TO = 3.22 ≈ 3 meters (rounded to nearest whole number)

∴ The length of TO is 3 meters.

Trapezoid PQRS is the image of a trapezoid ABCD after a translation right 9 and up 2. They result in congruent figures.

Match the corresponding parts:
AD PS
DC SR
B PSR
D PQR

Answers

The correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

Here we have the Trapezoid ABCD  after a translation right 9 and up 2.

They result in congruent figures

The Match of the corresponding parts are given as:

[tex]\rm AD=PS\\\\AB=PQ,\\ \\BC=QR,\\ \\AD=PS.[/tex]

Hence the correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

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f(x) = 11x and g(x) = x^2-6x+3 find the function (f•g)(4)

Answers

Answer:

-220

Step-by-step explanation:

(11×4)×(4²-6×4+3) (calculate the power)

(11×4)× (16-16×4+3)

44×(16-24+3)

44×(-5)

-44×5

=-220

can you mark me as the brainliest?

Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).

Answers

Answer:

See below ~

Step-by-step explanation:

Let :

x = people donating $15 when you runy = people donating $25 when you run

Two inequalities created are :

15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2

Solving

x + y ≤ 10015(x) + 25(x) ⩾ $1500

Let the people paying $15 be "x" and $25 be "y"

1st inequality

15(x) + 25(x) ⩾ $1500

2nd inequality

x + y ≤ 100

the product of a number n and 2 is 2 what is the equation

Answers

Answer:

n*2=2

Step-by-step explanation:

Product signifies multiplying two or more numbers together. In this instance, it is n and 2. Then it says it is equal to 2, so 2 goes on the other side of the equal sign.

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