What is the answer to 7/4 |3j+5|+1=15 ?

The answer to 7/4 |3j+5|+1=15 is j=-13/3 \lor j=1

Solve for j: 7/4 |3j+5|+1=15

The solution is j=-13/3 \lor j=1

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\frac{7}{4} ∣ 3 j + 5 ∣ + 1 = 15

j = - \frac{13}{3} or j = 1

Decimal

j = - 4.33333 \dots, j = 1

Solution steps

\frac{7}{4} ∣ 3 j + 5 ∣ + 1 = 15

Move

1

to the right side

\frac{7}{4} ∣ 3 j + 5 ∣ = 14

Multiply both sides by

4

7 ∣ 3 j + 5 ∣ = 56

Divide both sides by

7

∣ 3 j + 5 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 j + 5 = - 8 or 3 j + 5 = 8

3 j + 5 = - 8 or 3 j + 5 = 8

j = - \frac{13}{3} or j = 1

2 ∣ 3 x - 5 ∣ = 8

5 ∣ 3 - x ∣ = 20

- 1 ∣ 8 x - 6 ∣ = 0

∣ 2 x - 2 ∣ - 9 = - 4

y, 2 ∣ 3 x + 4 y - 2 ∣ + 3 25 - 5 x + 2 y = 0

What is the answer to 7/4 |3j+5|+1=15 ?
The answer to 7/4 |3j+5|+1=15 is j=-13/3 \lor j=1
Solve for j: 7/4 |3j+5|+1=15
The solution is j=-13/3 \lor j=1