5. Systems With Three Variables
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When using the Substitution Method to solve a system of equations, it is necessary to isolate a variable.
(4,1,6)
(I): LHS-x=RHS-x
(I): LHS+4y=RHS+4y
(II), (III): z= 6-x+4y
(III): y= 13-3x
(III): Distribute (-5)
(III): Add and subtract terms
(III): LHS+71=RHS+71
(III): .LHS /18.=.RHS /18.
(II): x= 4
(II):Multiply
(II): Subtract term
(I): x= 4, y= 1
(I): Identity Property of Multiplication
(I): Add and subtract terms
(I), (II), (III): Substitute values
(I), (II), (III): Multiply
(I), (II), (III): Add and subtract terms