The solution to the simultaneous equations is x = -4 and y = 5.
How to solve simultaneous equations graphically.
Given
x + 4y = 16 and 5x + 4y = 0
Rearrange them into slope-intercept form
y = mx + b
Graph x + 4y = 16
x + 4y = 16
Rearrange for y
4y = -x + 16
y = - 1/4x + 4
The slope m is -1/4 and the y-intercept b is 4. Plot the y-intercept at (0, 4) .
Graph 5x + 4y = 0
5x + 4y = 0
Rearrange for y.
4y = -5x
y = -5x/4
The slope m is -5/4 and the line passes through the origin (0, 0).
The point of intersection of the two lines gives the solution to the simultaneous equations
The point is (-4,5).
The solution to the simultaneous equations is x = -4 and y = 5
Graph