Question

1. $3x - 2y = 24$

$1x + 2y = 48$
$y=$
$x=$

Explanation:

Step1: Label the equations

Let Equation 1: $3x - 2y = 24$
Let Equation 2: $x + 2y = 48$

Step2: Eliminate $y$ by adding equations

Add Equation 1 and Equation 2:
$$(3x - 2y) + (x + 2y) = 24 + 48$$
$$4x = 72$$

Step3: Solve for $x$

Divide both sides by 4:
$$x = \frac{72}{4} = 18$$

Step4: Substitute $x$ into Equation 2

Substitute $x=18$ into $x + 2y = 48$:
$$18 + 2y = 48$$

Step5: Solve for $y$

Subtract 18 from both sides, then divide by 2:
$$2y = 48 - 18 = 30$$
$$y = \frac{30}{2} = 15$$

Answer:

$x=18$, $y=15$