What is the answer to (2a+1)/2 =(3a-1)/4 ?

The answer to (2a+1)/2 =(3a-1)/4 is a=-3

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(2a+1)/2 =(3a-1)/4

\frac{2 a + 1}{2} = \frac{3 a - 1}{4}

a = - 3

Solution steps

\frac{2 a + 1}{2} = \frac{3 a - 1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 a + 1) \cdot 4 = 2 (3 a - 1)

Expand

(2 a + 1) \cdot 4 : 8 a + 4

Expand

2 (3 a - 1) : 6 a - 2

8 a + 4 = 6 a - 2

Move

4

to the right side

8 a = 6 a - 6

Move

6 a

to the left side

2 a = - 6

Divide both sides by

2

a = - 3

30 = 100 - 0.1 p

p (λ) = - (λ - 2)^{2} (λ - 3)

45 = 5 (2 x - 1)

3 m - 5 = 7 m + 7

5 (x - 1) = 2 (x + 3)

What is the answer to (2a+1)/2 =(3a-1)/4 ?
The answer to (2a+1)/2 =(3a-1)/4 is a=-3
Solve for a: (2a+1)/2 =(3a-1)/4
The solution is a=-3