angelina32228 angelina32228
  • 17-12-2021
  • Mathematics
contestada

[tex]3x - 4y = 6 and 5x + 8y = -1[/tex]

Respuesta :

jimrgrant1 jimrgrant1
  • 17-12-2021

Answer:

x = 1 , y = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

3x - 4y = 6 → (1)

5x + 8y = - 1 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

6x - 8y = 12 → (3)

Add (2) and (3) term by term to eliminate y

11x = 11 ( divide both sides by 11 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + 8y = - 1

5 + 8y = - 1 ( subtract 5 from both sides )

8y = - 6 ( divide both sides by 8 )

y = - [tex]\frac{6}{8}[/tex] = - [tex]\frac{3}{4}[/tex]

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