Question

Solve the system of equations.

Answer 1

The solution to the system of equation are (0, -6)(-1, -8)

How to find the solution of a system of equation?

y = x² + 3x - 6

y = 2x - 6

Hence,

2x - 6 = x² + 3x - 6

x² + 3x - 6 - 2x + 6

x² + x  = 0

x(x + 1) = 0

x = 0 or x = -1

Hence,

when x = 0

y = 2(0) - 6

y = -6

when

x = -1

y = 2(-1) - 6

y = -8

Therefore, the solutions are as follows;

(0, -6)(-1, -8)

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Answer 2

The solution to the system of equations is given by:

A. (-1,-8) and (0, -6).

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

• y = x² + 3x - 6.

• y = 2x - 6.

To find the solutions for x, we equalize them, hence:

x² + 3x - 6 = 2x - 6

x² + x = 0.

x(x + 1) = 0

x = 0 or x = -1.

For y, the solutions are given as follows:

• When x = 0, y = 2(0) - 6 = -6.

• When x = -1, y = 2(-1) - 6 = -8.

Hence option A is correct.

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