# What are the values of x and y?

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a) 3x + 5y =  26

b) 2x + 2y = 12

Step One: We need to find a way to equate either the x terms of the y terms in each equation. Multiply equation a) by 2 and equation b) by 3 to form the following equations.

a) 6x + 10y = 52

b) 6x + 6y = 36

Step Two: Take equation b) from equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

0x    + 4y = 16

y = 4

Step Three: substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

2x + (2x4) =12

2x + 8 = 12

2x = 4

x = 2

x=2 y=4

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