Respuesta :

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)

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!

               

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