Question

1. is the point (2, -4) a solution to the system of equations? show your work. -5x + 5y = -30 5x - 3y = 22

Explanation:

Step1: Substitute $x=2,y=-4$ into first equation

$$\begin{align*} -5(2) + 5(-4) &= -10 - 20 \\ &= -30 \end{align*}$$

Step2: Substitute $x=2,y=-4$ into second equation

$$\begin{align*} 5(2) - 3(-4) &= 10 + 12 \\ &= 22 \end{align*}$$

Step3: Check equality for both equations

First equation: $-30 = -30$ (true). Second equation: $22 = 22$ (true).

Answer:

Yes, the point $(2,-4)$ is a solution to the system of equations.