Question

Solve the systems by elimination: 8x-2y= -10 -4x+y= 5

Answer 1

Let's eliminate x.  To achieve this, mult. the 2nd equation by 2, obtaining

-8x + 2y = 10.  Now add this result to the first equation:

8x-2y= -10

-8x + 2y = 10

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The two equations actually represent the same line.   Without an x- or a y-value, we cannot solve for the value of the other variable.  There are infinitely many solutions.

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