Question

1. $7x + 4y = 2$

$7x + 2y = 8$
mination using addition and subtr

Explanation:

Step1: Subtract the two equations

Subtract the second equation from the first to eliminate $x$:
$$(7x + 4y) - (7x + 2y) = 2 - 8$$
$$2y = -6$$

Step2: Solve for $y$

Divide both sides by 2 to isolate $y$:
$$y = \frac{-6}{2} = -3$$

Step3: Substitute $y$ into second equation

Plug $y=-3$ into $7x + 2y = 8$:
$$7x + 2(-3) = 8$$
$$7x - 6 = 8$$

Step4: Solve for $x$

Add 6 to both sides, then divide by 7:
$$7x = 8 + 6 = 14$$
$$x = \frac{14}{7} = 2$$

Answer:

$x=2$, $y=-3$