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Solution:

Solve the system of equations to find the value of y.

  • 10x + 10y = 40

        5x + 3y = 8

  • 10x + 10y = 40

        2(5x + 3y = 8)

  • 10x + 10y = 40

        10x + 6y = 16

  • 4y = 24
  • y = 6

Substitute the value of y into any equation to find the value of x.

  • 10x + 10y = 40
  • => 10x + 10(6) = 40
  • => 10x + 60 = 40
  • => 10x = -20
  • => x = -2

Putting them in (x,y) form.

  • (x,y) ⇒ (x = -2,y = 6) ⇒ (-2,6)

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