What is the answer to |8-3z|= 9/2 ?

The answer to |8-3z|= 9/2 is z= 7/6 \lor z= 25/6

Solve for z: |8-3z|= 9/2

The solution is z= 7/6 \lor z= 25/6

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∣ 8 - 3 z ∣ = \frac{9}{2}

z = \frac{7}{6} or z = \frac{25}{6}

Decimal

z = 1.16666 \dots, z = 4.16666 \dots

Solution steps

∣ 8 - 3 z ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 3 z = - \frac{9}{2} or 8 - 3 z = \frac{9}{2}

8 - 3 z = - \frac{9}{2} or 8 - 3 z = \frac{9}{2}

z = \frac{7}{6} or z = \frac{25}{6}

∣ 3 z ∣ = 0

∣ x ∣ + 1 = 0

∣ n - 5 ∣ = 13

∣ 2 x - 9 ∣ = 15

∣ 2 x - 9 ∣ = 18

What is the answer to |8-3z|= 9/2 ?
The answer to |8-3z|= 9/2 is z= 7/6 \lor z= 25/6
Solve for z: |8-3z|= 9/2
The solution is z= 7/6 \lor z= 25/6