What are the values of x and y?
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
EA
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