What is the answer to |3a+5|=|4a-9| ?

The answer to |3a+5|=|4a-9| is a= 4/7 \lor a=14

Solve for a: |3a+5|=|4a-9|

The solution is a= 4/7 \lor a=14

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∣ 3 a + 5 ∣ = ∣ 4 a - 9 ∣

a = \frac{4}{7} or a = 14

Solution steps

∣ 3 a + 5 ∣ = ∣ 4 a - 9 ∣

Find positive and negative intervals

a < - \frac{5}{3}, - \frac{5}{3} \leq a < \frac{9}{4}, a \geq \frac{9}{4}

Solve the inequality for each interval

No Solution or a = \frac{4}{7} or a = 14

a = \frac{4}{7} or a = 14

14 x^{2} - 11 x + 10 = 0

m^{2} - 8 m - 16 = - 16

4 + - 25

\frac{3 x - 2}{4} - \frac{2 x - 5}{3} = \frac{1 + x}{6}

3 (- 2 x + 1) - 2 (x + 13) = 7 x - 4 (1 - x)

What is the answer to |3a+5|=|4a-9| ?
The answer to |3a+5|=|4a-9| is a= 4/7 \lor a=14
Solve for a: |3a+5|=|4a-9|
The solution is a= 4/7 \lor a=14