The system of equations tells you that y is equal to −5, so that’s the y-value in our system. To find the value of x in our system, we can substitute −5 for y in the second equation. Do that now.

Question

y=−5
x=−6y−8
x
=
−6(
) − 8

Answer 1

To find the value of \( x \) using the equation \( x = -6y - 8 \) and substituting \( y = -5 \):

1. Substitute \( y \) with \( -5 \):

\[ x = -6(-5) - 8 \]

2. Calculate \( -6(-5) \):

\[ -6(-5) = 30 \]

3. Now substitute \( 30 \) into the equation:

\[ x = 30 - 8 \]

4. Finally, calculate \( 30 - 8 \):

\[ x = 22 \]

So, the value of \( x \) is \( 22 \).