Question

Help Solve for x. 1. -3x + 4 = 31

Solve for x. 2. 2x + -10 = 22

What is the solution? 3. 40 = 32 – 4r

Answer 1

Hello!

The answers are:

1
`x=-9`

2
`x=16`

3
`r=-2`

Why?

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side.

So:

1 - Solving for x

`-3x+4=31\\-3x=31-4\\-3x=27\\x=(27)/(-3)=-9`

2 - Solving for x

`2x-10=22\\2x=22+10\\2x=32\\x=(32)/(2)=16`

3 - Solving for r

`40=32-4r\\4r=32-40\\4r=-8\\r=(-8)/(4)=-2`

Have a nice day!

Answer 2

1)-9

2)16

3)-2

Explanation:

1)

-3x + 4 = 31

-3x = 31 - 4

-3x = 27

-x = 27/3

-x = 9

x = -9

2)

2x + -10 = 22

2x = 22 + 10

2x = 32

x = 32/2

x = 16

3)

40 = 32 – 4r

-4r = 40 - 32

-4r = 8

-r = 8/4

-r = 2

r = -2