What is the answer to (3a-1)/8 =(a+9)/4 ?

The answer to (3a-1)/8 =(a+9)/4 is a=19

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(3a-1)/8 =(a+9)/4

\frac{3 a - 1}{8} = \frac{a + 9}{4}

a = 19

Solution steps

\frac{3 a - 1}{8} = \frac{a + 9}{4}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(3 a - 1) \cdot 4 = 8 (a + 9)

Expand

(3 a - 1) \cdot 4 : 12 a - 4

Expand

8 (a + 9) : 8 a + 72

12 a - 4 = 8 a + 72

Move

4

to the right side

12 a = 8 a + 76

Move

8 a

to the left side

4 a = 76

Divide both sides by

4

a = 19

- 8 - 3 (w + 13) = 4 (w + 11) - 7 w

3 (n + 11) - 5 n = - 2 (n - 12) + 9

- 8 (3 x - \frac{1}{4}) = 2 (9 - 7 x)

24 = 13 n - 4 n + 9

\frac{3}{7} m = 6

What is the answer to (3a-1)/8 =(a+9)/4 ?
The answer to (3a-1)/8 =(a+9)/4 is a=19
Solve for a: (3a-1)/8 =(a+9)/4
The solution is a=19