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

The answer to |a-5|+4=9 is a=0\lor a=10

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|a-5|+4=9

∣ a - 5 ∣ + 4 = 9

a = 0 or a = 10

Solution steps

∣ a - 5 ∣ + 4 = 9

Move

4

to the right side

∣ a - 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a - 5 = - 5 or a - 5 = 5

a - 5 = - 5 or a - 5 = 5

a = 0 or a = 10

∣ 5 x - 9 ∣ = 1

∣ 3 - 7 x ∣ = 4

6 x^{2} + x - 11 = 4

4 ∣ v - 5 ∣ = 16

\frac{1}{3} x + 4 = 3