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Usimov [2.4K]
2 years ago
10

Solve for a: a/2 - 2/3 = a + 1/5

Mathematics
2 answers:
lapo4ka [179]2 years ago
7 0
Combining like terms, move the one with coefficient a to the left, and move the constant to the right
\dfrac{a}{2} -  \dfrac{2}{3} =a+ \dfrac{1}{5}
\dfrac{a}{2} - a =\dfrac{1}{5} + \dfrac{2}{3}

equalize the denominators in like-terms
\dfrac{a}{2} - \dfrac{2a}{2} =\dfrac{1 \times 3}{5 \times 3} + \dfrac{2 \times 5}{3 \times 5}
\dfrac{a}{2} - \dfrac{2a}{2} =\dfrac{3}{15} + \dfrac{10}{15}

do the operation to the numerators
\dfrac{-a}{2} =\dfrac{13}{15}

solve for a
-a = \dfrac{13}{15} \times 2
-a = \dfrac{26}{15}
a = - \dfrac{26}{15}
ki77a [65]2 years ago
3 0
The answer is 4 if I am correct
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