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Find the missing variables using substitution

Find the missing variables using substitution-example-1
User Cojones
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1 Answer

24 votes
24 votes

Answer: x: 1... y: 2... z: -5

Explanation:

You need to get z by itself. Divide -4 on both sides and z=-5

Then, get y by itself. Move 6x... and -3y=-6x (the zero doesn't matter now)... then divide by 3 and... y=2x

Now, plug y and z into the first equation...

-2x + 3(2x)+5(-5)=-21

Now solve!

-2x + 6x -25 = -21

4x - 25 = -21

4x = 4

x = 1

Now, you can plug x into the third equation to find y...

6(1) - 3y = 0

Solve!

6 - 3y = 0

-3y = -6

y = 2

Now we have all of them!

User Jagira
by
3.1k points