Question

g $\begin{cases} y = 3x \\ x = -2y + 56 end{cases}$
h $\begin{cases} x = 2y - 15 \\ y = -2x end{cases}$
3 systems that you think would be the m

Explanation:

System G

Step1: Substitute $y=x$ into 2nd equation

$x = -2(x) + 56$

Step2: Simplify and solve for $x$

$x + 2x = 56$
$3x = 56$
$x = \frac{56}{3}$

Step3: Find $y$ using $y=x$

$y = \frac{56}{3}$

System H

Step1: Substitute $y=-2x$ into 1st equation

$x = 2(-2x) - 15$

Step2: Simplify and solve for $x$

$x = -4x - 15$
$x + 4x = -15$
$5x = -15$
$x = -3$

Step3: Find $y$ using $y=-2x$

$y = -2(-3) = 6$

Answer:

System G solution: $x=\frac{56}{3}$, $y=\frac{56}{3}$
System H solution: $x=-3$, $y=6$

Note: The prompt mentions "3 systems" but only provides 2. If you provide the third system, I can solve it as well.