Question

9y = x\
-4x + y = -35

Explanation:

Step1: Substitute \( x = 9y \) into the second equation

We know from the first equation \( 9y = x \), so substitute \( x \) in the second equation \( -4x + y = -35 \) with \( 9y \). We get \( -4(9y) + y = -35 \).

Step2: Simplify the left - hand side of the equation

Calculate \( -4(9y)+y \). First, \( -4\times9y=-36y \), then \( -36y + y=-35y \). So the equation becomes \( -35y=-35 \).

Step3: Solve for \( y \)

Divide both sides of the equation \( -35y = -35 \) by \( -35 \). We have \( y=\frac{-35}{-35}=1 \).

Step4: Solve for \( x \)

Substitute \( y = 1 \) into the first equation \( x = 9y \). Then \( x=9\times1 = 9 \).

Answer:

\( x = 9 \), \( y = 1 \)