Question

solve the system of equations.
10x - 9y = 24
y = x - 2
x =
y =

Explanation:

Step1: Substitute \( y = x - 2 \) into \( 10x - 9y = 24 \)

Substitute \( y \) in the first equation with \( x - 2 \), we get \( 10x - 9(x - 2) = 24 \).

Step2: Simplify the equation

Expand the left - hand side: \( 10x-9x + 18=24 \). Combine like terms: \( x+18 = 24 \).

Step3: Solve for \( x \)

Subtract 18 from both sides of the equation \( x + 18=24 \), we have \( x=24 - 18=6 \).

Step4: Solve for \( y \)

Substitute \( x = 6 \) into \( y=x - 2 \), then \( y=6 - 2 = 4 \).

Answer:

\( x = 6 \)
\( y = 4 \)