Answer:
w = 0, x = 3, y = 2, z = 1
Step-by-step explanation:
You can use each equation to write an expression that will substitute into the next equation.
y = 8 -2x . . . . from the first equation
8 -2x + 3z = 5 . . . . . substituted into the second equation
z = (-3 +2x)/3 . . . . . solved for z
(-1 +2/3x) +2w = 1 . . . . . substituted into the third equation
w = (2 -2/3x)/2 . . . . . solved for w
5(1 -1/3x) +3x = 9 . . . . . substituted into the last equation
4/3x = 4 . . . . . simplified, 5 subtracted
x = 3 . . . . . . . . multiply by 3/4
w = 0 . . . . . . . .value of x substituted into equation for w
z = 1 . . . . . . . . value of x substituted into equation for z
y = 2 . . . . . . . .value of x substituted into equation for y
The solution is (w, x, y, z) = (0, 3, 2, 1).
