Question

9x + 2y = 25\
x - 2y = -15

Explanation:

Step1: Add the two equations

Adding the equations eliminates $y$:
$$(9x + 2y) + (x - 2y) = 25 + (-15)$$
$$10x = 10$$

Step2: Solve for $x$

Divide both sides by 10:
$$x = \frac{10}{10} = 1$$

Step3: Substitute $x=1$ into second equation

Use $x - 2y = -15$ to find $y$:
$$1 - 2y = -15$$

Step4: Isolate the term with $y$

Subtract 1 from both sides:
$$-2y = -15 - 1 = -16$$

Step5: Solve for $y$

Divide both sides by $-2$:
$$y = \frac{-16}{-2} = 8$$

Answer:

$x=1$, $y=8$