Asked by Jess
Solve the equation and check your answer
(q+9)/5 + (q-2)/2 = 11/5
(q+9)/5 + (q-2)/2 = 11/5
Answers
Answered by
MathMate
(q+9)/5 + (q-2)/2 = 11/5
We identify the common denominator as 10. By multiplying both sides of the equation by the common denominator, we end up with integer coefficients, which are easier to work with.
2(q+9) + 5(q-2) = 22
Next we use distributivity to expand the expressions on the left:
2q + 18 + 5q -10 = 22
Then we group like terms in q on the left, and constants on the right:
2q + 5q = 22 -18 + 10
Simplify and reduce:
7q = 14
Divide by the coefficient of the unknown (7) on both sides:
q = 2
The last step is to substitute the value of q in the original equation and verify that the solution is correct.
We identify the common denominator as 10. By multiplying both sides of the equation by the common denominator, we end up with integer coefficients, which are easier to work with.
2(q+9) + 5(q-2) = 22
Next we use distributivity to expand the expressions on the left:
2q + 18 + 5q -10 = 22
Then we group like terms in q on the left, and constants on the right:
2q + 5q = 22 -18 + 10
Simplify and reduce:
7q = 14
Divide by the coefficient of the unknown (7) on both sides:
q = 2
The last step is to substitute the value of q in the original equation and verify that the solution is correct.
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