Question

Solve using substitution.

–7x − 3y = –20
x = 2

Answer 1

To solve the system of equations using substitution, we start with the given equations:

1. \(-7x - 3y = -20\)
2. \(x = 2\)

Since we have the value of \(x\), we can substitute it into the first equation.

Substituting \(x = 2\) into the first equation:

\[
-7(2) - 3y = -20
\]

Now, calculate \(-7(2)\):

\[
-14 - 3y = -20
\]

Next, add 14 to both sides of the equation:

\[
-3y = -20 + 14
\]
\[
-3y = -6
\]

Now, divide both sides by -3:

\[
y = \frac{-6}{-3}
\]
\[
y = 2
\]

So, the solution to the system of equations is:

\[
x = 2, \quad y = 2
\]

In ordered pair form, the solution is:

\[
(2, 2)
\]