Question

2х - 4 = 3y
5y - x =5

Answer 1

x=5

Explanation:

Lets first solve for y on both sides:

`2x-4=3y\\(2x-4)/(3)=y\\ y=(2x-4)/(3)`

`5y-x=5\\5y=5+x\\y=(5+x)/(5)`

Set the two equations equal to each other and solve for x:

`(2x-4)/(3)=(5+x)/(5)`

Multiple both sides by 3:

`2x-4=(3(5+x))/(5)`

Multiply both sides by 5:

`5(2x-4)=3(5+x)`

Apply distributive property to both sides:

`10x-20=15+3x`

Add 20 to both sides:

`10x=35+3x`

Subtract 3x from both sides:

`7x=35`

Divide both sides by 7:

`x=5`