Question

1. solve the following sys and solve for x. then su

$y = 12(2x + 11)$
$y = 12(2x + 12)$

Explanation:

Step1: Set the two equations equal

Since both expressions equal \( y \), we can set them equal to each other: \( 12(2x + 11) = 12(2x + 12) \)

Step2: Divide both sides by 12

Divide each side by 12 to simplify: \( \frac{12(2x + 11)}{12} = \frac{12(2x + 12)}{12} \), which simplifies to \( 2x + 11 = 2x + 12 \)

Step3: Subtract \( 2x \) from both sides

Subtract \( 2x \) from each side: \( 2x + 11 - 2x = 2x + 12 - 2x \), which gives \( 11 = 12 \)

This is a contradiction, meaning there is no solution for \( x \) (the system is inconsistent).

Answer:

No solution (the system is inconsistent as \( 11 = 12 \) is false)