Question

Solve the system algebraically. Check your work.

5x + 2y = 10
3x + 2y = 6

Answer 1

5x + 2y = 10
3x + 2y = 6 ....multiply by -1
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5x + 2y = 10
-3x - 2y = -6 (result of multiplying by -1)
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2x = 4
x = 4/2
x = 2

5x + 2y = 10
5(2) + 2y = 10
10 + 2y = 10
2y = 10 - 10
2y = 0
y = 0

solution is (2,0)