Question

1. $y = 6x - 11$ $-2x - 3y = -7$

Explanation:

Step1: Substitute \( y = 6x - 11 \) into the second equation

We have the second equation \( -2x - 3y = -7 \). Substitute \( y \) with \( 6x - 11 \):
\( -2x - 3(6x - 11) = -7 \)

Step2: Simplify the equation

First, distribute the -3:
\( -2x - 18x + 33 = -7 \)
Combine like terms:
\( -20x + 33 = -7 \)
Subtract 33 from both sides:
\( -20x = -7 - 33 \)
\( -20x = -40 \)
Divide both sides by -20:
\( x = \frac{-40}{-20} = 2 \)

Step3: Find the value of \( y \)

Substitute \( x = 2 \) into \( y = 6x - 11 \):
\( y = 6(2) - 11 = 12 - 11 = 1 \)

Answer:

\( x = 2 \), \( y = 1 \)