What is the answer to 3|10a-9|+7=40 ?

The answer to 3|10a-9|+7=40 is a=-1/5 \lor a=2

Solve for a: 3|10a-9|+7=40

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

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3 ∣ 10 a - 9 ∣ + 7 = 40

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

Decimal

a = - 0.2, a = 2

Solution steps

3 ∣ 10 a - 9 ∣ + 7 = 40

Move

7

to the right side

3 ∣ 10 a - 9 ∣ = 33

Divide both sides by

3

∣ 10 a - 9 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 a - 9 = - 11 or 10 a - 9 = 11

10 a - 9 = - 11 or 10 a - 9 = 11

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

∣ 2 x - 5 ∣ = 2 - 3 x

∣ 4 x + 1 ∣ = 10

- 9 ∣ m ∣ = - 16

∣ 3 x - 5 ∣ = ∣ - 4 x + 7 ∣

∣ x ∣ = - 19.4

What is the answer to 3|10a-9|+7=40 ?
The answer to 3|10a-9|+7=40 is a=-1/5 \lor a=2
Solve for a: 3|10a-9|+7=40
The solution is a=-1/5 \lor a=2