5a - 7 / 3a = 2/1
or, 1(5a - 7) = 2(3a)
or, 5a - 7 = 6a
or, 5a - 6a = 7
or, -a = 7
or, a = -7
To Check:
5(-7) - 7/3(-7) = 2/1
or, -35 - 7/-21 = 2/1
or, -42/-21 = 2/1
or, 2/1 = 2/1
Since LHS = RHS, Hence proved.
[tex] \frac{5a - 7}{3a} = \frac{2}{1} \\ \\ 1(5a - 7) = 2 \times 3a \\ 5a - 7 = 6a \\ 5a - 6a = 7 \\ - a = 7 \\ a = - 7[/tex]
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Answers & Comments
5a - 7 / 3a = 2/1
or, 1(5a - 7) = 2(3a)
or, 5a - 7 = 6a
or, 5a - 6a = 7
or, -a = 7
or, a = -7
To Check:
5(-7) - 7/3(-7) = 2/1
or, -35 - 7/-21 = 2/1
or, -42/-21 = 2/1
or, 2/1 = 2/1
Since LHS = RHS, Hence proved.
Verified answer
[tex] \frac{5a - 7}{3a} = \frac{2}{1} \\ \\ 1(5a - 7) = 2 \times 3a \\ 5a - 7 = 6a \\ 5a - 6a = 7 \\ - a = 7 \\ a = - 7[/tex]