Question

understanding check: solve using substitution. a. \

$$\begin{cases} y = -3x + 6 \\\\ 5x + 2y = 15 \\end{cases}$$

Explanation:

Step1: Substitute y into second equation

Substitute $y=-3x+6$ into $5x+2y=15$:
$5x + 2(-3x + 6) = 15$

Step2: Simplify and solve for x

Expand and combine like terms:
$5x - 6x + 12 = 15$
$-x + 12 = 15$
$-x = 15 - 12$
$-x = 3$
$x = -3$

Step3: Substitute x to find y

Plug $x=-3$ into $y=-3x+6$:
$y = -3(-3) + 6$
$y = 9 + 6$
$y = 15$

Answer:

$x=-3$, $y=15$