Answer: x = 0; y = 2; z = 5
Explanation:
x+2y+z=9
x-y+3z=13
2z=10
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Start with the last equation: 2z = 10, therefore z = 5 [easy]
Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:
x-y+3z = 13
x - y +3*5 = 13
x = y-2
Now use the values for x [(y-2)] and y [5] in the first equation:
X+2y+z=9
(y-2) +2y + 5 = 9
3y +3 = 9
3y = 6
y = 2
Now that we have y [2] and z [5], let's use the first equation to solve for x:
x+2y+z=9
x + 4 + 5 = 9
x + 9 = 9
x = 0
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Try the three values (x=0, y=2, and z=5) in any of the formulas. The result should/will equal the number shown.