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25 votes
Someone help me please it’s urgent for homework

Someone help me please it’s urgent for homework-example-1
User Jalperin
by
3.6k points

2 Answers

2 votes
The correct ordered pair is (-3,-5)
The mistake he might have made was confusing the order of the pair; ordering it (h,g) instead of (g,h)
User Ngima Sherpa
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3.2k points
11 votes

This is a system of equation problem, so we will solve it as such.

  • Lets write out the equations we have:

5g - 2h = -5

7 = h - 4g --> h - 4g = 7 --> -4g + h = 7

  • Let's label the equations

5g - 2h = -5 -- equation 1

-4g + h = 7 -- equation 2

  • Now solve:

(equation 2) * 2

-8g + 2h = 14 -- equation 3

(equation 3) + (equation 1)

-3g = 9

g = -3 -- equation 4

plug (equation 4)'s value of g into (equation 2)

-4(-3) + h = 7

12 + h = 7

h = -5

Thus g = -3 and h = -5

However, when we look at the problem, we see that (-5,-3) is the incorrect answer.

(-5,-3) is in the format (g,h)

Thus the answer must be in the format (h,g) to be correct

So the answer is (-3,-5)

Hope that helps!

User Bart Kiers
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3.5k points