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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

7. Linear, Quadratic, and Exponential Models

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Exercise 35 Page 594

By adding the two equations, you can cancel the y-term.

(6,4)

Practice makes perfect

To solve a system of linear equations using the Elimination Method, one of the variable terms needs to be eliminated when one equation is added to or subtracted from the other equation. This means that either the x-terms or the y-terms must cancel each other out. x+ y=10 & (I) x- y=2 & (II) We can see that the y-terms will eliminate each other if we add (I) to (II).

x+y=10 x-y=2

(II): Add (I)

x+y=10 x-y+( x+y)=2+( 10)

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(II):Solve for x

(II): Add terms

x+y=10 2x=12

(II): .LHS /2.=.RHS /2.

x+y=10 x=6

Now we can solve for y by substituting the value of x into either equation and simplifying.

x+y=10 x=6

(I): x= 6

6+y=10 x=6

(I): LHS-6=RHS-6

y=4 x=6

The solution, or point of intersection, of the system of equations is (6,4).

Subchapter links

Lesson Check p.592

Practice and Problem-Solving Exercises p.592-594

Standardized Test Prep p.594

Mixed Review p.594