Answer
$x = -1$ and $y=-3$
Work Step by Step
Given the equations $5x - y = -2$ and $y = 3x$
Substituting the $y$ in the first equation, we have:
$5x - y = -2 \longrightarrow 5x - 3x = -2$
Therefore, we have:
$5x - 3x = -2 \longrightarrow 2x = -2 \longrightarrow x = \dfrac{-2}{2}\longrightarrow x = -1$
Substituting $x$ in the second equation, we have:
$y = 3x \longrightarrow y = 3(-1) \longrightarrow y = -3$
Verifying:
First equation: $5x - y = -2 \longrightarrow 5(-1) - (-3) = -2 \longrightarrow -5 + 3 = -2 \longrightarrow -2 = -2$
Second equation: $y = 3x \longrightarrow -3 = 3(-1) \longrightarrow -3=-3$
Therefore the solution is: $x = -1$ and $y=-3$
