What is the answer to 20=|9-4y| ?

The answer to 20=|9-4y| is y=-11/4 \lor y= 29/4

Solve for y: 20=|9-4y|

The solution is y=-11/4 \lor y= 29/4

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20 = ∣ 9 - 4 y ∣

y = - \frac{11}{4} or y = \frac{29}{4}

Decimal Notation

y = - 2.75, y = 7.25

Solution steps

20 = ∣ 9 - 4 y ∣

Switch sides

∣ 9 - 4 y ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 4 y = - 20 or 9 - 4 y = 20

9 - 4 y = - 20 or 9 - 4 y = 20

y = - \frac{11}{4} or y = \frac{29}{4}

∣ 5 x - 2 ∣ = 13

∣ 5 x - 7 ∣ + 1 = 3 x

∣ 2 x + 5 ∣ - 10 = 3 x

3 ∣ x + 4 ∣ = 6 x + 33

\frac{q}{5} = 3

What is the answer to 20=|9-4y| ?
The answer to 20=|9-4y| is y=-11/4 \lor y= 29/4
Solve for y: 20=|9-4y|
The solution is y=-11/4 \lor y= 29/4