What is the answer to |1+9a|=53 ?

The answer to |1+9a|=53 is a=-6\lor a= 52/9

Solve for a: |1+9a|=53

The solution is a=-6\lor a= 52/9

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∣ 1 + 9 a ∣ = 53

a = - 6 or a = \frac{52}{9}

Decimal Notation

a = - 6, a = 5.77777 \dots

Solution steps

∣ 1 + 9 a ∣ = 53

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 + 9 a = - 53 or 1 + 9 a = 53

1 + 9 a = - 53 or 1 + 9 a = 53

a = - 6 or a = \frac{52}{9}

∣ 5 x + 5 ∣ = 5

2 ∣ y + 3 ∣ - 4 = 0

∣ 5 x + 5 ∣ = 9

∣ - 10 + 5 b ∣ = 35

3 ∣ x + 3 ∣ = - 15