Question

x - 5y = 11
2x - 3y = 15

Explanation:

Step1: Solve first equation for x

From \( x - 5y = 11 \), we get \( x = 11 + 5y \).

Step2: Substitute x into second equation

Substitute \( x = 11 + 5y \) into \( 2x - 3y = 15 \):
\( 2(11 + 5y) - 3y = 15 \)
Expand: \( 22 + 10y - 3y = 15 \)
Simplify: \( 22 + 7y = 15 \)
Subtract 22: \( 7y = 15 - 22 = -7 \)
Divide by 7: \( y = -1 \).

Step3: Find x using y

Substitute \( y = -1 \) into \( x = 11 + 5y \):
\( x = 11 + 5(-1) = 11 - 5 = 6 \).

Answer:

\( x = 6 \), \( y = -1 \)