What is the answer to |9q-5|=2q ?

The answer to |9q-5|=2q is q= 5/11 \lor q= 5/7

Solve for q: |9q-5|=2q

The solution is q= 5/11 \lor q= 5/7

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∣ 9 q - 5 ∣ = 2 q

q = \frac{5}{11} or q = \frac{5}{7}

Decimal Notation

q = 0.45454 \dots, q = 0.71428 \dots

Solution steps

∣ 9 q - 5 ∣ = 2 q

Find positive and negative intervals

q < \frac{5}{9}, q \geq \frac{5}{9}

Solve the inequality for each interval

q = \frac{5}{11} or q = \frac{5}{7}

∣ - 3 y + 6 ∣ + 5 = 4

∣ x + 1 ∣ + 8 = 10

∣ - 5 + x ∣ = 3

∣ x ∣ - 8 = - 5

∣ 5 b + 9 - 2 b ∣ + 9 = 6 b

What is the answer to |9q-5|=2q ?
The answer to |9q-5|=2q is q= 5/11 \lor q= 5/7
Solve for q: |9q-5|=2q
The solution is q= 5/11 \lor q= 5/7