Question

Solve using substitution.y = -x - 6y = x + 8(_ , _)

Answer 1

(x,y) = (-7, 1)

Explanation:

Answer 2

The system of equation:

y =-x-6

y=x+8

Substitution Method: Simplify first expression for y and substitute the value of y in the second equation and then solve for x, the resulting value of x is thesolution of the equations for x axis, and put this value of x in the first equation and solve for y

In the given system

Substitute : y = x+8 in the first eqaution

`\begin{gathered} y\text{ = -x-6} \\ x+8=-x-6 \\ 2x=-8-6 \\ 2x=-14 \\ x=-7 \end{gathered}`

Substitute the x = -7 in the second equation and solve for y:

`\begin{gathered} y=x+8 \\ y=-7+8 \\ y=1 \end{gathered}`

Thus, we get x = -7, y = 1

Answer: (x,y) = (-7, 1)