Substitution Method

 

 

  Equations: 2x + 3y = 1
                y + 4x =-3
Step 1: Solve one of the equations for one of its variables.
Step 2: Substitute the expression from Step 1 into the other equation and solve for the other variable.
Step 3: Substitute the value from step 2 into the revised equation from Step 1 and solve.
Step 1: y + 4x =-3
           
y =-4x - 3
Step 2: 2x + 3
y = 1
            2x + 3(
-4x - 3) = 1
            x = 1
Step 3: y =-4(1) - 3
            y = -7
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