Problem: how to solve using elimination method
3x-2y=11
6x+11y=97
1) 3x - 2y = 11
2) 6x + 11y = 97
Multiply equation 1 by 2.
2(3x - 2y) = 11 * 2
3) 6x - 4y = 22
Subtract equation 3 from equation 2, eliminating the x term.
6x + 11y = 97
-(6x - 4y = 22)
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15y = 75
15y = 75
15y/15 = 75/15
y = 5
3x - 2y = 11
3x - 2(5) = 11
3x - 10 = 11
3x - 10 + 10 = 11 + 10
3x = 21
3x/3 = 21/3
x = 7
Check it.
6x + 11y = 97
6(7) + 11(5) = 97
42 + 55 = 97
97 = 97
Answer: x = 7, y = 5