Jane C.

asked • 10/19/21# How to do x2-x-y=11 and x-y=2 doing substitution or elimination.

To determine the solution of the system of equation.

## 1 Expert Answer

Mark M. answered • 10/19/21

Retired math prof. Very extensive Precalculus tutoring experience.

x^{2} - x - y = 11 and x - y = 2

From the second equation, y = x - 2.

Substitute for y in the other equation: x^{2} - x - (x - 2) = 11

So, x^{2} - 2x + 2 = 11

x^{2} - 2x - 9 = 0

Use the quadratic Formula to find x and then use the fact that y = x - 2 to get y.

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Mark M.

What do you know of substitution or elimination?10/19/21