How do you solve 9x plus 2y equals 0 and 3x-5y equals 17 using the linear combination method?
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Answer:
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.
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