Solve using substitution.

–9x − 6y = –12
x = 6

1 answer

To solve the system of equations using substitution, we have:

  1. \(-9x - 6y = -12\)
  2. \(x = 6\)

Since we have \(x = 6\), we can substitute \(6\) for \(x\) in the first equation.

Substituting \(x = 6\) into the first equation:

\[ -9(6) - 6y = -12 \]

Calculating \(-9(6)\):

\[ -54 - 6y = -12 \]

Next, we can isolate \(y\) by adding \(54\) to both sides:

\[ -6y = -12 + 54 \]

Calculating the right side:

\[ -6y = 42 \]

Now, divide both sides by \(-6\):

\[ y = \frac{42}{-6} = -7 \]

Thus, the solution to the system of equations is:

\[ x = 6, \quad y = -7 \]

So the solution in ordered pair form is:

\[ (6, -7) \]