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Pearson Algebra 1 Common Core, 2011 View details

2. Solving Systems Using Substitution

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Exercise 44 Page 377

Use the Substitution Method to solve the system.

14.4

Practice makes perfect

We can use the Substitution Method to solve the system of equations. Since the exercise only asks for the x-coordinate, we do not need to solve for y. We just need to isolate y, substitute, and solve for x.

2x+3y=144 & (I) y-x=24 & (II)

AddEqn

(II):LHS+x=RHS+x

2x+3y=144 y=x+24

Substitute

(I):y= x+24

2x+3( x+24)=144 y=x+24

Distr

(I):Distribute 3

2x+3x+72=144 y=x+24

AddTerms

(I):Add terms