Solve the system of equations.
3x – 6y = 66
1/4x + 2y = 3

What is the solution to the system of equations?
( ____ , ____ )

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Respuesta :

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(20,−1)

Equation Form:

x=20,y=−1

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The solution to the system of equation is (20, -1)

System of equation

Given the system of eequation

  • 3x – 6y = 66
  • 1/4x + 2y = 3

From equation 1;

x - 2y = 22

x = 22 + 2y ........ 3

Substitute equation 3 into 2 to have:

1/4(22+2y) + 2y = 3

22+2y + 8y = 12

10y = 12 - 22

10y = -10

y = -1

Substitut y = -1 into x = 22 + 2y

x = 22 - 2

x = 20

Hence the solution to the system of equation is (20, -1)

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