jomarwells0912
jomarwells0912 jomarwells0912
  • 22-10-2021
  • Mathematics
contestada

Solve the system by substitution.
−5x+2y=14
y=3x+2

Respuesta :

JoshEast
JoshEast JoshEast
  • 22-10-2021

Answer:   x = 10; y = 32

Step-by-step explanation:

let   −5x+2y=14   be [1]

&        y=3x+2    be [2]  

Finding the value of x

By substituting y in [2] for y in [1]

⇒  −5x + 2(3x+2) = 14         [expand the bracket]

⇒     -5x + 6x + 4 = 14         [subract 4 from both sides and simplify]

⇒                       x = 10

Finding the value of y

Since x =10, we can substitute value of x into [2]

⇒     y = 3(10) + 2

⇒     y = 32

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