Question

1. $7x + 2y = 24$ $8x + 2y = 30$

Explanation:

Step1: Subtract the first equation from the second equation to eliminate \( y \).

\((8x + 2y) - (7x + 2y) = 30 - 24\)
Simplify the left side: \(8x + 2y - 7x - 2y = x\)
Simplify the right side: \(30 - 24 = 6\)
So, \(x = 6\).

Step2: Substitute \( x = 6 \) into the first equation \( 7x + 2y = 24 \) to find \( y \).

\(7(6) + 2y = 24\)
Calculate \(7(6)\): \(42 + 2y = 24\)

Step3: Solve for \( y \).

Subtract 42 from both sides: \(2y = 24 - 42\)
\(2y = -18\)
Divide both sides by 2: \(y = \frac{-18}{2} = -9\)

Answer:

\(x = 6\), \(y = -9\)