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Pearson Algebra 2 Common Core, 2011 View details

5. Systems With Three Variables

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Exercise 46 Page 173

When using the Substitution Method to solve a system of equations, it is necessary to isolate a variable.

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The given system consists of equations of planes. When using the Substitution Method to solve a system of equations, it is necessary to isolate a variable. In the first equation, y is isolated, so we will start by substituting it for its equivalent expression into the remaining equations.

y=-2x+10 - x+y-2z=-2 3x-2y+4z=7

(II), (III): y= -2x+10

y=-2x+10 - x+( -2x+10)-2z=-2 3x-2( -2x+10)+4z=7

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(II), (III): Simplify

RemovePar

(II): Remove parentheses

y=-2x+10 - x-2x+10-2z=-2 3x-2(-2x+10)+4z=7

Distr

(III): Distribute -2

y=-2x+10 - x-2x+10-2z=-2 3x+4x-20+4z=7

(II), (III): Add and subtract terms