Question

y = 2x + 7\
2x + 4y = 28

Explanation:

Step1: Substitute \( y = 2x + 7 \) into \( 2x + 4y = 28 \)

We know \( y = 2x + 7 \), so replace \( y \) in the second equation: \( 2x + 4(2x + 7) = 28 \)

Step2: Expand and simplify the equation

First, expand \( 4(2x + 7) \): \( 2x + 8x + 28 = 28 \)
Then, combine like terms: \( 10x + 28 = 28 \)
Subtract 28 from both sides: \( 10x = 0 \)
Divide both sides by 10: \( x = 0 \)

Step3: Find the value of \( y \)

Substitute \( x = 0 \) into \( y = 2x + 7 \): \( y = 2(0) + 7 = 7 \)

Answer:

\( x = 0 \), \( y = 7 \)