Question

solve the system of equations
3x-6y=30
y=-6

Answer 1

To solve the system of equations given:

1. \( 3x - 6y = 30 \)
2. \( y = -6 \)

We can substitute the value of \( y \) from the second equation into the first equation.

Substituting \( y = -6 \) into the first equation:

\[
3x - 6(-6) = 30
\]
\[
3x + 36 = 30
\]
Now, subtract 36 from both sides:

\[
3x = 30 - 36
\]
\[
3x = -6
\]

Now, divide both sides by 3:

\[
x = -2
\]

So, the solution to the system of equations is:

\[
x = -2, \quad y = -6
\]

The solution in ordered pair form is \( (-2, -6) \).