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LUVstitchy
Middle School
Use elimination to solve the system of equations given by -7x + 3y = 14 and
7x - 2y = -14.
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sqdancefan
The coefficients of x are already opposites, so you can simply add the two equations to eliminate x.
... (-7x +3y) + (7x -2y) = (14) + (-14)
... y = 0 . . . . . . . simplify
... -7x + 3·0 = 14 . . . . substitute the value of x into the first equation
.. x = 14/(-7) = -2
The solution is (x, y) = (-2, 0).
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