(2, -3)
Step-by-step explanation:
y = -2x + 1 ...equation 1
x + 2y = -4 ...equation 2
To determine the points to plot, we'll assign values for x inorder to get values for y in eqach of the equations:
let x = 0, 1, 2, 3
y = -2x + 1
when x = 0
y = -2(0) + 1 = 1
when x = 1
y = -2(1) + 1 = -1
when x = 2
y = -2(2) + 1 = -3
when x = 3
y = -2(3) + 1 = -5
x+2y=-4
when x = 0
0 + 2y = -4
y = -2
when x = 1
1 + 2y = -4
y = -5/2 = -2.5
when x = 2
2 + 2y = -4
y = -3
when x = 3
3 + 2y = - 4
y = -7/2 = -3.5
Plotting the graphs:
The solution of the system of equations is the point of intersection of both graphs.
The graphs meet at (2, -3).
Hence, the solution (x, y) = (2, -3)