How to solve by substitution:
4x - 12y=5
-x + 3y = -1
6x-3(4x-5)= -4x-11
331 of 48
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3%
To solve the system of equations by substitution, follow the steps below:
1. Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x:
-x + 3y = -1
Add x to both sides: -x + x + 3y = -1 + x
Simplify: 3y = x - 1
Divide both sides by 3: y = (1/3)x - 1/3
2. Substitute the expression for the solved variable from step 1 into the other equation.
Replace y in the first equation with (1/3)x - 1/3:
4x - 12((1/3)x - 1/3) = 5
Simplify: 4x - 4x + 4/3 = 5
Combine like terms: 4/3 = 5
This equation is not true, which means the system of equations is inconsistent and has no solution.
Therefore, the given system of equations is inconsistent and has no solution.