Question

Solve this system of equations using the substitution method. y = x + 7 - 2x - 11 = y ([?], [])

Answer 1

Answer:

The solution is (-6,1).

Explanation:

Given the system of equations:

$\begin{gathered} y=x+7 \\ -2x-11=y \end{gathered}$

Substitute y=x+7 into the second equation:

$-2x-11=x+7$

Next, solve the equation for x:

$\begin{gathered} -11-7=x+2x \\ -18=3x \\ \frac{-18}{3}=\frac{3x}{3} \\ x=-6 \end{gathered}$

Recall that y=x+7:

$\begin{gathered} y=x+7 \\ y=-6+7 \\ y=1 \end{gathered}$

The solution is (-6,1).