Question

(1.) Solve for x. Show ALL work: -2x + 5 = 4x - 7

(2.) Solve for y. Show ALL work: 12y + 4 = 8y - 12

(3.) Solve for z. Show ALL work: 7z - 18 = -2z + 18

(4.) Solve for x. Show ALL work: 10x + 15 = 5x - 10

Answer 1

Hello!

The answers are:

1

`x=2`

2

`y=-4`

3

`z=4`

4

`x=-5`

Why?

Solving for each of the given equations and variable, we have:

1

`-2x + 5 = 4x - 7`

Solving for "x", we have:

`-2x + 5 = 4x - 7\\\\-2x-4x=-7-5\\\\-6x=-12\\\\x=(-12)/(-6)=2`

So, we have that:

`x=2`

2

`12y+4=8y-12`

Solving for "y", we have:

`12y+4=8y-12\\\\12y-8y=-12-4\\\\4y=-16\\\\y=(-16)/(4)=-4`

So, we have that:

`y=-4`

3

`7z-18 =-2z+18`

Solving for "z", we have:

`7z-18 =-2z+18\\\\7z+2z=18+18\\\\9z=36\\\\z=(36)/(9)=4`

So, we have that:

`z=4`

4

`10x+15 =5x-10`

Solving for "x", we have:

`10x+15 =5x-10\\\\10x-5x=-10-15\\\\5x=-25\\\\x=(-25)/(5)=-5`

So, we have that:

`x=-5`

Hence, the answers are:

1

`x=2`

2

`y=-4`

3

`z=4`

4

`x=-5`

Have a nice day!