Answer
solution/point of intersection = (-2,-4)
Work Step by Step
Graph the equations by getting the intercepts.
Equation 1: $x - y = 2$
If $x=0$:
$$x - y = 2$$ $$0 - y = 2$$ $$- y = 2$$ $$ y = -2$$
Hence, we have point $(0,-2)$.
If $y=0$:
$$x - y = 2$$ $$x - 0 = 2$$ $$x = 2$$
Hence, we have point $(2,0)$.
Equation 2: $3x - y = -2$
If $x=0$:
$$3x - y = -2$$ $$0 - y = -2$$ $$y = 2$$
Hence, we have point $(0,2)$.
If $y=0$:
$$3x - y = -2$$ $$3x- 0= -2$$ $$3x = -2$$ $$x = -\frac{2}{3}$$
Hence, we have point $( -\frac{2}{3},0)$.
The graph of the equations intersect at point (-2,-4).
