Mathematics High School

5m - 2n=4
m - 4n = -1
20 3x + 5y = 11
2x - y=3​

Answers

Answer 1

Answer:

Step-by-step explanation:

5m - 2n = 4

 m - 4n = -1     add 4n to both sides   m - 4n + 4n = 4n - 1  

 m = 4n - 1      now substitute for m into the first equation

5(4n -1) - 2n = 4

20n - 5 - 2n = 4           combine the n coeffients  and add 5 to both sides

18n - 5  = 4 + 5

18n  = 9      solve for n      by dividing 18 by both sides

 18 n/18   =  9 /18

      n   =    1/2      now find for m using  m = 4n - 1    m = 4(1/2) - 1   m = 2 -1  = 1

      m  =   1          (1, 1/2)  solves the two equations

3x + 5y = 11      equation 1    

2x - y = 3​          multiply both sides by 5 so when you add the two equation

                         the y term is eliminated  (becomes zero)

5(2x-y) = 5(3)

10x - 5y = 15    equation 2      add equation 1 and equation 2

3x + 5y = 11     add the like terms

10x - 5y = 15    add the like terms

(3x + 10x) + (5y - 5y) = (11 + 15)

   13x        +     0       =    26               the y tern is gone   now solve for x      

   13x = 26

    13x/13  = 26/13

     x = 2                        now find y    using  2x - y = 3

   2x - y = 3         add y and subtract 3 from both sides

   2x - y + (y - 3)  =  3 + (y - 3)

   2x - 3 = y         we already know x = 2

   2(2) - 3 = y

     4 - 3 = y

        1  = y           answer (2,1)   solves the two equaitons

Related Questions

4. A carpenter is building a unique jewelry box in the shape of a triangular prism. How much wood will it take to complete the project? 9.5 m 10m 16 m 6 m​

Answers

Answer:

9.5 m

Step-by-step explanation:

Why is a coordinate plane called a coordinate plane?

Answers

Answer:

The invention of the Cartesian Coordinate System is credited to René Descartes. He revolutionised mathematics by providing the first systematic link between Euclidean geometry and algebra. Thus, the Coordinate Plane is named after him. ("Cartesian" from his last name, Descartes.)

Step-by-step explanation:

A Cartesian plane (named after French mathematician Rene Descartes, who formalized its use in mathematics) is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical.

Rani deposited AED 12000 for 3 years at the rate of 5 percent per annum. Calculate the simple interest and amount at the end of the 3rd year

Answers

Answer:

the principal and the amount is 1,800 and 13,800 respectively

Step-by-step explanation:

The computation of the simple interest and amount for the end of the 3rd year is shown below:

Simple interest is

= Principal × rate of interest × time period

= 12,000 × 5% × 3 years

= 1,800

Now the amount is

= 12,000 + 1,800

= 13,800

hence, the principal and the amount is 1,800 and 13,800 respectively

A towns population increases from 200000 to 250000. What has been the percentage increase?

Answers

Answer:

25% increase

Step-by-step explanation:

Just do 250000/200000 you will find 1.25

And the one is the base 200000 and convert .25 to percentage, which is 25%

Brainliest maybe?

Answer:

25% or .25

Step-by-step explanation:

fist find the number it increased by minus 250000 from 200000

250000 - 200000 = 50000

then divide the increase by the original

50000/200000 = .25 or 25%

9/10 x 3 1/3 simplest form

Answers

Answer:

9/10x3 1/3 =3 or 10/3x9/10 =3

Step-by-step explanation:

y = -4x + 3
8x + 2y = 8
Solve by using elimination.

Answers

Answer:

The equations are not compatible

Step-by-step explanation:

y = -4x + 3

8x + 2y = 8

substitute for y:

8x + 2(-4x + 3) = 8

simplify:

8x - 8x + 6 = 8

6 ≠ 8

Please help me with this i give brainliest.

Answers

Answer:

$310 is less than or equal to $9 + $35x

Step-by-step explanation:

4y + 12 = 8
y=

Someone please help!!

Answers

4y + 12 = 8
4y = -12 + 8
4y = -4
y = -4/4
y = -1

Please I need help with this problem

Answers

Answer:

The answer is  A

Which is an equivalent ratio to 6/7?​

Answers

Answer: 12 : 14  18 : 21  24 : 28  30 : 35

Step-by-step explanation:

hope these is the right answer to your question

A fort had enough provisions for 100 men for 8 days. If 60 more men were joined then how many days the provisions will last for?​

Answers

Answer:

It would last for 3.2 days.

Step-by-step explanation:

100 men = 8 days

10 men = 0.8 days

60 men = 0.8 x 6 = 4.8 days

Now you subtract the days of 100 men and 60 men

8 - 4.8 = 3.2 days

Hope this helps!

This year a small business had a total of $35,100.If this is 35% more than their total revenue the previous year, what was their total revenue the previous year

Answers

Answer:

22,815

Step-by-step explanation:

35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.

ill mark brainlist plss help

Answers

Answer:

5.86

Step-by-step explanation:

1 gram = 100 centigrams

The correct answer is : 5.86

I didn't understand this HELP

Answers

Answer:

y=78.2

Step-by-step explanation:

pretty much substitute 88 in, by 0.9*88-1

How many vehicles were driven at least 200 thousand kilometers
vehicles

Answers

Answer:

5

........................

This is very confusing

Answers

Answer:

13

Step-by-step explanation:

it takes 8 builders 12 days to build a wall .How long will it take for 4 builders to build the same wall ?​

Answers

Answer:24

Step-by-step explanation:

A carpenter bought 5 identical boxes of nails. She used 25 nails fir a project and now has 435 nails left. Which equation can be solved to find the number of nails in each box.

Answers

Answer:

The equation that can be solved to find the number of nails in each box =

5x = 460

The number of nails in each box = 92 nails

Step-by-step explanation:

A carpenter bought 5 identical boxes of nails. She used 25 nails for a project and now has 435 nails left. Which equation can be solved to find the number of nails in each box.

Let the number of nails in each box be represented by x

Therefore our Equation =

5x = 25 + 435

5x = 460

Solving for x

5x/5 = 460/5

x = 92 nails

Therefore, the number of nails in each box = 92 nails

Which set of ordered pairs do not represent a function

Answers

its (-4,2),(3,3),(-2,2),(-1,2),(0,2,(1,2)

Yesterday 56 people came to the Center, How many people came to the Center to hike if: 30 people took classes,22 went bird-watching, and l2 people did both?

Answers

Answer:

40 people came to the Center to hike

Step-by-step explanation:

30 people took classes

22 did bird watching

12 did both

to solve, take 12 and subtract it from each one:

⇒ 30 - 12 = 18

⇒ 22 - 12 = 10

18 people only took classes

10 people only did bird watching

12 people did both

18 + 10 + 12 = 40

what is the value of A​

Answers

Answer:

There's no picture for me to answer your question.

Step-by-step explanation:

please help i'll give brainliest

Answers

Step-by-step explanation:

24m , 75 m . 54 ,

Help please
1/4x - 5 = 10 - x

Answers

1/4x - 5 = 10 -x

Add 5 to both sides:

1/4x = 15 -x

Add x to both sides:

1 1/4x = 15

Divide both sides by 1 1/4:

x = 12

(1/4)x - 5 = 10 - x

x/4 - 5 = 10 - x

(x/4)(4) - 5(4) = 10(4) - 4x

x - 20 = 40 - 4x

x + 4x = 40 + 20

5x = 60

x = 60/5

x = 12

Write the word sentence as an equation.
54 equals 9 more than a numbert.
An equation that represents this sentence is

Answers

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

What’s the value of x?

Answers

Answer:

x=114 i believe

Step-by-step explanation:

x+66=180

subtract 66 from 180,which gives you 114

Answer is 114
Explanation:
The line is 180 degrees so you need to subtract 66 from 180, hope this helps!!<3

Also could I have a brainliest possibly?:)

Help ill mark you brainlist

Answers

the differences between he numbers are 19, so the answer is 58 + 19 = 71

A farmer sells 6.1 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

1.6

Step-by-step explanation:

6.1 kilograms - 4.5 kilograms = 1.6 kilograms

Jasmine uses 14.24 pounds of fruit for 16 servings of fruit salad. If each serving contains the same amount of fruit, how much fruit is in each serving?

Answers

0.89lbs of fruit per serving

X2-6x+8=? Answer plzzzzzzzzzzzzzz

Answers

Answer:

The answer to your problem should be 2

Answer:

x^2 - 6x + 8 = x^2 - 2x - 4x + 8 = x(x-2) - 4(x-2) = (x-4) (x-2)

x - 4 = 0 => x = 4

x - 2 = 0 => x = 2

PLEASE HELP 40 points and brainiest

Answers

Answer:

D.

Step-by-step explanation:

If not, can i re edit or u tell me the answer?

Answer:

D is the answer

Step-by-step explanation:

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