Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
1. Solving One-Step Equations
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Exercise 46 Page 85

Isolate x on one side of the equation.

10/7

Practice makes perfect
To solve the equation, we have to isolate x. Using the Multiplication Property of Equality, we will multiply both sides of the equation by the reciprocal of the coefficient of the variable x. This will eliminate the fraction and isolate x.
1/5x=2/7
1/5x * 5/1=2/7 * 5/1
5/1 * 1/5 * x=2/7 * 5/1
1 * x=2/7 * 5/1
x=2/7 * 5/1
x=5 * 2/1 * 7
x=10/7
Therefore, x= 107 is the solution to the equation. To check that this is correct, we can substitute x= 107 into the original equation and then simplify.
1/5x=2/7
1/5* 10/7? =2/7
1* 10/5* 7? =2/7
10/35? =2/7
10/5/35/5? =2/7
2/7=2/7 âś“
Since both sides are equal, x= 107 is the correct solution.