Integrated Algebra 1

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Integrated Algebra 1

• 3.11 Solve Rational Equations

How can I clear this fraction?
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Solve the equation using cross multiplication

• Cross multiply and solve

Notice youre going to have a quadratic!!
-36 -36
0 x2 5x -36
0 (x9)(x-4)
x 9 0 x - 4 0
x -9 x 4
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Solve

• Figure out the LCD

2. Multiply each term by the LCD
3x(2) - 5(x 5) 5(2)
3. Simplify and solve
6x - 5x - 25 10
x - 25 10
25 25
x 35
4
Solve

• Figure out the LCD

2. Multiply each term by the LCD
3. Simplify and solve
4(x 5) (x - 4)(x 5) 14
(x 7) (x 2) 0
4x 20 x2 x - 20 14
x 7 0 x 2 0
x -7 x 2
x2 5x 14
-14 -14
X2 5x 14 0
5
Solve

• Figure out the LCD

2. Multiply each term by the LCD
3. Simplify and solve
5x (x 10) -35
6x 10 -35
x -7.5
- 10 -10
6x -45
6 6
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Homework

• Work on 3.9/3.10 Review Sheet