What is the answer to |2m-3|=4m-1 ?

The answer to |2m-3|=4m-1 is m= 2/3

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|2m-3|=4m-1

∣ 2 m - 3 ∣ = 4 m - 1

m = \frac{2}{3}

Decimal Notation

m = 0.66666 \dots

Solution steps

∣ 2 m - 3 ∣ = 4 m - 1

Find positive and negative intervals

m < \frac{3}{2}, m \geq \frac{3}{2}

Solve the inequality for each interval

m = \frac{2}{3} or No Solution

m = \frac{2}{3}

∣ 5 x - 3 ∣ = 8

3 ∣ y + 4 ∣ = 36

∣ 6 y + 18 ∣ = 12

∣ 6 x + 2 ∣ = 5

∣ 4 - 3 x ∣ = - 2