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BRAINEST TO THE CORRECT ANSWER (50 points)

Tim incorrectly says that the solution of the system of equations is (-7.-4). What is
the correct solution? What error might Tim have made?

59 - 2h= -6
9=h-49

The solution is ____
(Simplify your answer. Type an ordered pair.)

Respuesta :

semsee45

Answer:

(-4, -7)

Step-by-step explanation:

Equation 1:  5g - 2h = -6

Equation 2:  9 = h - 4g

Rewrite equation 2 to make h the subject:

9 = h - 4g

⇒  h = 9 + 4g

Substitute  h = 9 + 4g  into equation 1 and solve for g:

5g - 2(9 + 4g) = -6

⇒ 5g - 18 - 8g = -6

⇒ -3g = 12

⇒ g = -4

Substitute found value for g into either equation and solve for h:

9 = h - 4(-4)

⇒ 9 = h + 16

⇒ h = -7

Therefore, the correct solution is (-4, -7)

Tim has got the values for g and h mixed up.

I guess question is incorrect itself.Assumed solution is provided

  • 59=2h-6k--(1)
  • 9k=h-49=>49=h-9k--(2)

Multiply 2 with eq(2)

  • 98=2h-18k--(3)

Subtract eq(3) from (1)

[tex]\\ \tt\hookrightarrow -39=12k[/tex]

[tex]\\ \tt\hookrightarrow k=-39/12=-3.2[/tex]

Put in eq(2)

[tex]\\ \tt\hookrightarrow 49=h+28.8\implies h=20.2[/tex]

  • (h,k)=(20,2,-3.2)

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