What is the answer to |9a-7|=70 ?

The answer to |9a-7|=70 is a=-7\lor a= 77/9

Solve for a: |9a-7|=70

The solution is a=-7\lor a= 77/9

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∣ 9 a - 7 ∣ = 70

a = - 7 or a = \frac{77}{9}

Decimal Notation

a = - 7, a = 8.55555 \dots

Solution steps

∣ 9 a - 7 ∣ = 70

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 a - 7 = - 70 or 9 a - 7 = 70

9 a - 7 = - 70 or 9 a - 7 = 70

a = - 7 or a = \frac{77}{9}

∣ x + 3 ∣ = - 7

∣ - 5 x ∣ + 4 = - 11

5 x - 3 = ∣ x + 9 ∣

2 ∣ - 2 x - 2 ∣ - 3 = 13

∣ x ∣ - 1 = - x^{2} + 1