Question

1. is the point (5, -26) a solution to the following system of equations? show your work. y = -5x - 1 y = -3x - 2

Explanation:

Step1: Substitute into first equation

Substitute $x=5$, $y=-26$ into $y=-5x-1$:

$$\begin{align*} -26 &= -5(5) - 1 \\ -26 &= -25 - 1 \\ -26 &= -26 \end{align*}$$

Step2: Substitute into second equation

Substitute $x=5$, $y=-26$ into $y=-3x-2$:

$$\begin{align*} -26 &= -3(5) - 2 \\ -26 &= -15 - 2 \\ -26 & eq -17 \end{align*}$$

Answer:

The point $(5, -26)$ is not a solution to the system of equations, as it does not satisfy the second equation $y=-3x-2$.