In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
4y+5x=2y-3x+16
Step 02:
x and y intercepts:
4y + 5x = 2y - 3x + 16
4y - 2y = - 3x - 5x + 16
2y = - 8x + 16
y = (-8x + 16) / 2
y = -4x + 8
x -intercept:
y = 0
y = -4x + 8
0 = -4x + 8
4x = 8
x = 8 / 4 = 2
(2 , 0)
y-intercept:
x = 0
y = -4x + 8
y = -4(0) + 8
y = 8
(0 , 8)
The answer is:
x -intercept: ( 2 , 0)
y-intercept: ( 0 , 8)