SOLUTION: To solve systems of equations by the substitution method. Please help my son to solve this homework questions:
x – y = 3
6x + 4y = 13
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-> SOLUTION: To solve systems of equations by the substitution method. Please help my son to solve this homework questions:
x – y = 3
6x + 4y = 13
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You can put this solution on YOUR website! In the substitution method one equation is written with one variable on its own on one side of the equation.
Rewrite the first equation by adding y to each side of the equation to get
x – y + y = 3 + y
x = y + 3
Substitute for x in the second equation.
6(y + 3) + 4y = 13
6y + 18 + 4y = 13
10y + 18 = 13
Subtract 18 from each side of the equation
10y + 18 - 18 = 13 - 18
10y = -5
Divide each side by 10
y = -0.5
Substitute into the first equation (or its modified form)
x = y + 3
x = -0.5 + 3
x = 2.5
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