Question

What does y equal in the solution of the system of equations below? 5y-3x-4z=22 2z-2x=-6 2z+3x=-6

Answer 1

9514 1404 393

Answer:

y = 2

Explanation:

Subtracting the second equation from the third gives ...

(2z +3x) -(2z -2x) = (-6) -(-6)

5x = 0

x = 0

Using this in the third equation, we have ...

2z +0 = -6

z = -3

And substituting these values into the first equation, we have ...

5y -3(0) -4(-3) = 22

5y = 10 . . . . . subtract 12

y = 2

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The solution to the system is (x, y, z) = (0, 2, -3).