Solve using substitution.

Question

–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:

\[ (2, 2) \]