Answer:
x = 4, y = -3
Step-by-step explanation:
Find the slope intercept form first (y = mx + b):
the one going down is y = -1/2x - 1 (slope is negative, down 1 over 2, and the y-intercept is at (0, -1) )
the one going up is y = 1/4x - 4 (slope is up 1 over 4, and the y-intercept is at (0, -4)
Convert them into standard form (Ax + By = C):
1st equation: multiply the entirety of both sides by 2 to get rid of the fraction:
2y = -1x -`2
add 1x to both sides: 1x + 2y = -2
2nd equation: multiply the entirety of both sides by 4 to get rid of the fraction:
4y = 1x - 16
subtract 1x from both sides: -1x + 4y = -16
Isolate a variable:
-x + 4y = -16
-x = -4y - 16
x = 4y + 16
Plug that into other equation:
1(4y + 16) + 2y = -2
6y + 16 = -2
6y = -18
y = -3
Substitute y into the isolated equation:
x = 4(-3) + 16
x = -12 + 16
x = 4
