Question

solve each system of equations by using elimination

1. \\(\

$$\begin{cases} 3x - 5y = 13 \\\\ 2x - y = -3 \\end{cases}$$

\\)

Explanation:

Step1: Isolate $y$ from second equation

$2x - y = -3 \implies y = 2x + 3$

Step2: Substitute $y$ into first equation

$3x - 5(2x + 3) = 13$

Step3: Simplify to solve for $x$

$3x - 10x - 15 = 13 \implies -7x = 28 \implies x = -4$

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

$y = 2(-4) + 3 = -8 + 3 = -5$

Answer:

$x=-4$, $y=-5$ or the ordered pair $(-4, -5)$