Question

3x - 2y = -2
–5z - 7y=1

Answer 1

`\displaystyle [-(16)/(31), (7)/(31)]`

Explanation:

{3x - 2y = −2

{–5x - 7y = 1

−2⁄7[–5x - 7y = 1]

{3x - 2y = −2

{1 3⁄7x + 2y = −2⁄7 >> New Equation

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`\displaystyle (4(3)/(7)x)/(4(3)/(7)) = (-2(2)/(7))/(4(3)/(7)) \\ \\`

`\displaystyle x = -(16)/(31)`[Plug this back into both equations above to get the y-coordinate of 7⁄31];
`\displaystyle (7)/(31) = y`

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