1. 1.3: Solving Linear Equations
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Solving
Linear
Equations
Section 1.3
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1.3: Solving Linear Equations

2. 1.3: Solving Linear Equations
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What does linear mean?
A variable which is raised by the first power
An equation is a statement that two expressions are equal
Equation is a mathematical statement that two expressions are equivalent.
The solution set of an equation is the value/s of the variable that make the equation true.
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1.3: Solving Linear Equations

3. 1.3: Solving Linear Equations
11/19/2018
II. Steps
Move the term and variables onto one side
Isolate the variable by dividing and/or using the reciprocal
Check
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1.3: Solving Linear Equations

4. 1.3: Solving Linear Equations
Example 1
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Solve
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1.3: Solving Linear Equations

5. 1.3: Solving Linear Equations
Example 2
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Solve
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1.3: Solving Linear Equations

6. 1.3: Solving Linear Equations
Your Turn
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Solve 3x– 14x + 25 = 2 – 6x – 12
{7}
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1.3: Solving Linear Equations

7. 1.3: Solving Linear Equations
Example 3
Solve
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1.3: Solving Linear Equations

8. 1.3: Solving Linear Equations
Example 4
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Solve 3x – 9 – 4x = – (5 + x)
3x – 9 – 4x = –(5 + x)
–9 – x = –5 – x
+ x x
–9 ≠ –5 x
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1.3: Solving Linear Equations

9. 1.3: Solving Linear Equations
Example 5
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Solve 2(x – 6) = –5x – x
2(x – 6) = –5x – x
2x – 12 = 2x – 12
–2x –2x
–12 = –12 
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1.3: Solving Linear Equations

10. 1.3: Solving Linear Equations
Your Turn
Solve x – 7 = 6x + 5 – 3x
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1.3: Solving Linear Equations

11. 1.3: Solving Linear Equations
Example 6
It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?
Rate (car/min)
Time (Min)
Friend’s Rate
Time (Min)
Cars
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1.3: Solving Linear Equations

12. 1.3: Solving Linear Equations
Example 6
It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?
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1.3: Solving Linear Equations

13. 1.3: Solving Linear Equations
Your Turn
Suppose it takes you 9 minutes to wash a car and it takes your friend 12 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?
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1.3: Solving Linear Equations

14. 1.3: Solving Linear Equations
Assignment
Pg 21: 3-19 EOO, odd, EOO, all
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1.3: Solving Linear Equations

15. 1.3: Solving Linear Equations
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1.3: Solving Linear Equations