Question

$(-x + y = 5)$
$(7x - 6y = -25)$
$-x + y = 5$
$7x - 6y = -25$
$overline{square x + square y = square}$

Explanation:

Step1: Eliminate x variable

Multiply first equation by 7:
$$7(-x + y) = 7 \times 5 \implies -7x + 7y = 35$$

Step2: Add to second equation

Add to $7x - 6y = -25$:
$$(-7x + 7y) + (7x - 6y) = 35 + (-25)$$
Simplify: $0x + 1y = 10$

Step3: Solve for x

Substitute $y=10$ into $-x + y = 5$:
$$-x + 10 = 5 \implies -x = 5 - 10 \implies -x = -5 \implies x=5$$

Answer:

$x=5$, $y=10$
The combined equation after elimination is: $\boldsymbol{0x + 1y = 10}$