Question

What is the solution to the following system of equations?

y = x2 + 10x + 11

y = x2 + x − 7

Answer 1

y=x^2+10x+11
y=x^2+x-7
therefore,
x^2+10x+11=x^2+x-7
x^+10x+11-x^2-x+7=0
9x+18=0
x=-2
y=(-2)^2+10(-2)+11= -5

Answer 2

The solution to the equation is x = -2

How to determine the solution to the equations?

The system of equations is given as:

y = x^2 + 10x + 11

y = x^2 + x − 7

Equate both equations

x^2 + 10x + 11 = x^2 + x - 7

Subtract x^2 from both sides

10x + 11 = x - 7

Collect like terms

10x - x = -11 - 7

Evaluate the difference

9x = -18

Divide both sides by 9

x = -2

Hence, the solution to the equation is x = -2

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