Question

2х - 4 = 3y 5y - x =5

Answer 1

Answer:

x=5

Step-by-step explanation:

Lets first solve for y on both sides:

$2x-4=3y\\\frac{2x-4}{3}=y\\ y=\frac{2x-4}{3}$

$5y-x=5\\5y=5+x\\y=\frac{5+x}{5}$

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

$\frac{2x-4}{3}=\frac{5+x}{5}$

Multiple both sides by 3:

$2x-4=\frac{3(5+x)}{5}$

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:
$x=5$