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3 votes
2х - 4 = 3y
5y - x =5

User JEROM JOY
by
8.1k points

1 Answer

4 votes

Answer:

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

User Vassily
by
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