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9 votes
9 votes
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Solve the system of equations – 2z – 2y = -24 and 3z – 2y = -33 by
combining the equations.
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( 2z -2y =-24)
– 32 -2y =-33)
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-22 -2y = -24
-32 -2y -33
0 - 0 Y=
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User TeamTam
by
3.0k points

1 Answer

15 votes
15 votes

Answer:

z = -1.8, y = 10.2

Explanation:

- 2z -2y = -24 (EQ 1)

3z - 2y = -33 (EQ 2)

Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)

Let's target the equation that can leave us with the simplest question to solve

-2z + -2y = -24

-3z + 2y = 33

-5z = 9

(Dividing and switching the negative sign over)

z = -1.8

Plug in Z to solve for y.

-2(-1.8) - 2y = -24

3.6 - 2y = -24

-2y = -20.4

y = 10.4

User Matt Coy
by
2.6k points