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Y=5x-7
-3x-2y=-12
Find x

1 Answer

6 votes

Answer:

11/6=x

Explanation:

System of Linear Equations entered :

[1] y=5x-7

[2] -3x-3y=-12

Equations Simplified or Rearranged :

[1] y - 5x = -7

[2] -3y - 3x = -12

Graphic Representation of the Equations :

-5x + y = -7 -3x - 3y = -12

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = 5x - 7

// Plug this in for variable y in equation [2]

[2] -3•(5x-7) - 3x = -12

[2] - 18x = -33

// Solve equation [2] for the variable x

[2] 18x = 33

[2] x = 11/6

// By now we know this much :

y = 5x-7

x = 11/6

// Use the x value to solve for y

y = 5(11/6)-7 = 13/6

Solution :

{y,x} = {13/6,11/6}

User Shiyun
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