Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
3. Solving Multi-Step Equations
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Exercise 32 Page 98

Rewrite n5 as a fraction to have 10 as the denominator.

n=-2

Practice makes perfect

In this equation, we can combine the fractions after finding a common denominator. Here the common denominator is 10. Let's rewrite all of the fractions to have 10 as the denominator.

n/5-3n/10 = 1/5
2n/10-3n/10 = 2/10
- n/10 = 2/10
- n = 2
n = - 2

Let's check our solution by substituting it into the original equation.

n/5-3n/10 = 1/5
- 2/5-3( - 2)/10 ? = 1/5
â–¼
Simplify LHS
- 2/5-(- 6/10) ? = 1/5
- 2/5-(- 6/10) ? = 1/5
- 2/5+6/10 ? = 1/5
- 2/5+3/5 ? = 1/5
1/5 = 1/5

Since the left-hand side and right-hand side are equal, we know our solution is correct.