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Math algebra 2 show you’re work plz

Math algebra 2 show you’re work plz-example-1
User Jay Patel
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1 Answer

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12 votes

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Answer:

(t, u, w) = (1, -2, -2)

Explanation:

A graphing calculator makes short work of this, giving the solution as ...

(t, u, w) = (1, -2, -2)

__

There are many ways to solve this "by hand." Here's one of them.

Add the first and third equations. Their sum is ...

-3t +4w = -11 . . . . . [eq4]

Add this to twice the second equation. That sum is ...

(-3t +4w) +2(-4t -2w) = (-11) +2(0)

-11t = -11

t = 1

Substituting this into the second equation gives ...

-4(1) -2w = 0

w +2 = 0 . . . . divide by -2

w = -2 . . . . add -2

Substituting for t in the third equation lets us find u.

2(1) -2u = 6

-1 +u = -3 . . . . . divide by -2

u = -2 . . . . add 1

The solution is (t, u, w) = (1, -2, -2).

User Sarvesh Yadav
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2.8k points