kaydence110883 kaydence110883
  • 02-04-2020
  • Mathematics
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5x-6y=-8 solve the equation

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 02-04-2020

Answer:

Solved for y:  [tex]y = 4/3 + 5/6x[/tex]

Solved for x:  [tex]x = 6/5y - 8/5[/tex]

Step-by-step explanation:

Solving for y

Step 1:  Subtract 5x from both sides

[tex]5x - 6y - 5x = -8 - 5x[/tex]

[tex]-6y = -8 - 5x[/tex]

Step 2:  Divide both sides by -6

[tex]-6y / -6 = (-8 - 5x) / -6[/tex]

[tex]y = 4/3 + 5/6x[/tex]

Solving for x

Step 3:  Add 6y to both sides

[tex]5x - 6y + 6y = -8 + 6y[/tex]

[tex]5x = 6y - 8[/tex]

Step 4:  Divide both sides by 5

[tex]5x / 5 = (6y - 8) / 5[/tex]

[tex]x = 6/5y - 8/5[/tex]

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