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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 14 Page 266

Create functions from the left-hand and right-hand sides of the equation.

x=-3

Practice makes perfect

To graph the equation 13x+5=-2x-2, we will create two functions out of the left and right hand sides of the equation. y=1/3x+5 and y=-2x-2

The x-coordinate where the graphs of these functions intersect is the solution to our equation.

intersection

The graphs intersect at x=-3, which is our solution. We can check our solution by substituting x= -3 into the original equation.

1/3x+5=-2x-2

x= -3

1/3( -3)+5? =-2( -3)-2

Multiply

-1+5? =6-2

Add and subtract terms

4=4 ✓

Since the resulting statement is true, our solution is correct.

Subchapter links

1 Solving Systems of Linear Equations by Graphing p.264

2 Solving Systems of Linear Equations by Substitution p.264

3 Solving Systems of Linear Equations by Elimination p.265

4 Solving Special Systems of Linear Equations p.265

5 Solving Equations by Graphing p.266

6 Graphing Linear Inequalities in Two Variables p.266

7 Systems of Linear Inequalities p.266