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How do you solve 9x plus 2y equals 0 and 3x-5y equals 17 using the linear combination method?
Wiki User
∙ 12y ago
9x + 2y = 0
3x - 5y = 17
Multiply the second equation by -3 so now the system looks like:
9x + 2y = 0
-9x + 15y = -51
So now when we add the two equations together (in their like-terms columns), we are left with just one variable:
0x + 17y = -51
Solve for y:
17y = -51
y = -3
And plug y = -3 into either of the original equations to get the value of x:
9x + 2y = 0
9x + 2(-3) = 0
9x - 6 = 0
9x = 6
x = 2/3
So the answer is x = 2/3 and y = -3.
Wiki User
∙ 12y ago
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