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.

y=−5
x=−6y+3
x
=
−6(
) + 3

1 answer

To find the value of \( x \), we substitute \( y = -5 \) into the second equation \( x = -6y + 3 \):

\[ x = -6(-5) + 3 \]

Now, calculate the right side:

  1. Multiply \( -6 \) by \( -5 \):

\[ -6 \times -5 = 30 \]

  1. Add \( 3 \):

\[ 30 + 3 = 33 \]

So, the value of \( x \) is:

\[ x = 33 \]

Thus, the solution gives us:

\[ x = 33, \quad y = -5 \]