solve by substition?

Question

4x-12y=5
-x+3y=-1

Answer 1

no solution
as x = 3y + (5/4)
while x = 3y + 1

Answer 2

4x - 12y = 5- - - - - - Equation 1
- x + 3y = - 1- - - - - -Equation 2
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Multiply equation 2 times - 1

- (- 1)(x) + (- 1)(3y) = - 1(- 1)

- (- x) + ( - 3y = - (- 1)

x - 3y = 1. . .New equation 2

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4x = 12y = 5
x - 3y = 1
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Isolate x in new equation 2

x - 3y = 1

x - 3y + 3y = 3y + 1

Collect like terms

x = 3y + 1

Substitute the x value into equation 1
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4x - 12y = 5

4(3y + 1) - 12y = 5

The distribute property

12y + 4 - 12y = 5

Collect like terms

4 = 5

The coefficients and variables cancell. No solution.

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