Question

solve by substitution

1. $2y + 3x = 24$

$y = x + 2$

Explanation:

Step1: Substitute $y=x+2$ into first equation

$2(x+2) + 3x = 24$

Step2: Expand and simplify left side

$2x + 4 + 3x = 24$
$5x + 4 = 24$

Step3: Isolate $x$ term

$5x = 24 - 4$
$5x = 20$

Step4: Solve for $x$

$x = \frac{20}{5} = 4$

Step5: Substitute $x=4$ into $y=x+2$

$y = 4 + 2 = 6$

Answer:

$x=4$, $y=6$