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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Solving Equations by Graphing

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Exercise 8 Page 247

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

$x = 1$

Practice makes perfect

To graph the equation

4 x = x + 3,

we will create two functions out of the left- and right-hand sides of the equation.

f (x) = 4 x and g (x) = x + 3

The

x -

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

Point of intersection

The graphs intersect at

x = 1,

which is our solution. We can verify this algebraically by solving the equation.

4 x = x + 3

$LHS - x = RHS - x$

3 x = 3

$LHS / 3 = RHS / 3$

x = 1

To check this solution, we will substitute it back into the given equation and simplify. If doing so results in a true statement, our solution is correct.

4 x = x + 3

$x = 1$

4 (1) = ? 1 + 3

Identity Property of Multiplication

4 = ? 1 + 3

Add terms

4 = 4 ✓

Subchapter links

Communicate Your Answer p.243

Monitoring Progress p.244-246

Exercises p.247-248