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3x - y = 11 y = 2x - 7

Question

3x - y = 11
y = 2x - 7

Explanation:

Step1: Substitute \( y = 2x - 7 \) into \( 3x - y = 11 \)

We get \( 3x - (2x - 7) = 11 \).

Step2: Simplify the equation

Remove the parentheses: \( 3x - 2x + 7 = 11 \).
Combine like terms: \( x + 7 = 11 \).

Step3: Solve for \( x \)

Subtract 7 from both sides: \( x = 11 - 7 = 4 \).

Step4: Substitute \( x = 4 \) into \( y = 2x - 7 \)

Calculate \( y = 2\times4 - 7 = 8 - 7 = 1 \).

Answer:

\( x = 4 \), \( y = 1 \)