Question

1. 3x - y = 26

-2x - y = -24

Explanation:

Step1: Label the two equations

Equation 1: $3x - y = 26$
Equation 2: $-2x - y = -24$

Step2: Subtract Equation 2 from 1

Subtract to eliminate $y$:
$$(3x - y) - (-2x - y) = 26 - (-24)$$
$$3x - y + 2x + y = 26 + 24$$
$$5x = 50$$

Step3: Solve for $x$

Divide both sides by 5:
$$x = \frac{50}{5} = 10$$

Step4: Substitute $x=10$ into Equation1

Find value of $y$:
$$3(10) - y = 26$$
$$30 - y = 26$$
$$-y = 26 - 30$$
$$-y = -4$$
$$y = 4$$

Answer:

$x=10$, $y=4$