What is the answer to |6a-5|=4a ?

The answer to |6a-5|=4a is a= 1/2 \lor a= 5/2

Solve for a: |6a-5|=4a

The solution is a= 1/2 \lor a= 5/2

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∣ 6 a - 5 ∣ = 4 a

a = \frac{1}{2} or a = \frac{5}{2}

Decimal Notation

a = 0.5, a = 2.5

Solution steps

∣ 6 a - 5 ∣ = 4 a

Find positive and negative intervals

a < \frac{5}{6}, a \geq \frac{5}{6}

Solve the inequality for each interval

a = \frac{1}{2} or a = \frac{5}{2}

∣ r ∣ = - 2

- 6 ∣ 8 x - 4 ∣ = - 72

\frac{y + 9}{4} = 5

∣ - 3 d ∣ = 15

5 ∣ 1 - 4 x ∣ - 15 = 0