Answer
$(-1,3)$
Work Step by Step
For both equations, find 2 points and extend the line. Because of the form of these equations, It is easy to find the intercepts as the 2 points.
For equation 1 (Red Line):
Find x-intercept:
$y= 0$
$2x - 0 = -5$
$2x = -5$
$x = -5/2$
$(-5/2,0)$
Find y-intercept
$x=0$
$0 -y = -5$
$-y = -5$
$y = 5$
$(0,5)$
Connect these points and extend.
For equation 2 (Blue line):
Find x-intercept:
$y= 0$
$-2x - 0 = -1$
$-2x = -1$
$x = 1/2$
$(1/2,0)$
Find y-intercept
$x=0$
$0 -y = -1$
$-y = -1$
$y = 1$
$(0,1)$
Connect these points and extend.
After that, find where the 2 points cut.
The point should be $(-1,3)$
