Question

solve the linear system using substitution:
2.

$$\begin{cases}-4x - 7y = -15\\\\2x - y = -15\\end{cases}$$

Explanation:

Step1: Isolate $y$ from second equation

$2x - y = -15 \implies y = 2x + 15$

Step2: Substitute $y$ into first equation

$-4x - 7(2x + 15) = -15$

Step3: Simplify and solve for $x$

$-4x -14x -105 = -15 \implies -18x = 90 \implies x = -5$

Step4: Substitute $x$ back to find $y$

$y = 2(-5) + 15 = 5$

Answer:

$x=-5$, $y=5$ (or the ordered pair $(-5, 5)$)