SOLUTION: Given a rational equation below find some strategies you could try for solving it ×+1/2×=10

Question 1167524: Given a rational equation below find some strategies you could try for solving it ×+1/2×=10
Found 2 solutions by solver91311, Theo:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Multiply both sides by 2. Collect like terms in the LHS. Divide both sides by the coefficient on the variable.

John

My calculator said it, I believe it, that settles it

I > Ø

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the equation is x + 1/2 * x = 10

strategy is as follows:

place all values of x under a common denominator.

x + 1/2 * x = 10 becomes 2/2 * x + 1/2 * x = 10

combine like terms.

2/2 * x + 1/2 * x = 10 becomes 3/2 * x = 10

multiply both sides of the equation by the reciprocal of the fraction.

3/2 * x = 10 becomes 2/3 * 3/2 * x = 2/3 * 10

simplify the equation by performing the operations indicated.

2/3 * 3/2 * x = 2/3 * 10 becomes x = 20/3

confirm the solution is correct by replacing the value of x with its value.

x + 1/2 * x = 10 becomes 20/3 + 1/2 * 20/3 = 10

simplify the equation further by performing the operations indicated.

20/3 + 1/2 * 20/3 = 10 becomes 20/3 + 10/3 = 10

combine like terms.

20/3 + 10/3 = 10 becomes 30/3 = 10

perform a final simplification.

30/3 = 10 becomes 10 = 10

test to see if the equation is true.

10 = 10 is true.

report the solution.

x = 20/3

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