Respuesta :

Answers:

  • Solving for x on the question - 2x + 3y = 32  |  
  1. Answer : x =  [tex]\frac{-3}{2}[/tex]⁻y + 16

  • Solving for y on the question - 2x + 3y = 32  |  
  1. Answer : y = [tex]\frac{-2}{3}[/tex]x + [tex]\frac{32}{3}[/tex]

  • Solving for x on question - 5x - 4y = -81 |
  1. Answer : x =  [tex]\frac{4}{5}[/tex]y + [tex]\frac{-81}{5}[/tex]

  • Solving for y on question - 5x - 4y = -81 |
  1. Answer : y =  [tex]\frac{-5}{4}[/tex]x + [tex]\frac{81}{4}[/tex]

Step-by-step explanation:

(Solving for x on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2}[/tex]  = [tex]\frac{-3y+32}{2}[/tex]

x =  [tex]\frac{-3}{2}[/tex]⁻y + 16                                                                                                                

(Solving for y on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

[tex]\frac{3y}{3}[/tex] =  [tex]\frac{-2x+32}{3}[/tex]

y = [tex]\frac{-2}{3}[/tex]x + [tex]\frac{32}{3}[/tex]                                                                                                          

(Solving for x on question - 5x - 4y = -81)

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5}[/tex] =  [tex]\frac{4y-81}{5}[/tex]

x =  [tex]\frac{4}{5}[/tex]y + [tex]\frac{-81}{5}[/tex]                                                                                                              

(Solving for y on question - 5x - 4y = -81 )

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

[tex]\frac{-4y}{-4}[/tex] = [tex]\frac{-5x-81}{-4}[/tex]

y =  [tex]\frac{-5}{4}[/tex]x + [tex]\frac{81}{4}[/tex]

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