what is the solution to the equation |10-5y| =20

a) y=2
b) y=4
c) y=6
d) y=10

Question

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Respuesta :

imlittlestar imlittlestar · Answer 1 · 2019-04-08T01:58:53+02:00

Answer:

The correct answer is option c) y = 6

Step-by-step explanation:

It is given that|10-5y| =20

Check each option

a) y = 2

|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20

b) y = 4

|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20

c) y = 6

|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20

d) y = 10

|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40| ≠ 20

From the above result we get the correct answer is option c) y = 6

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alinakincsem alinakincsem · Answer 2 · 2019-04-08T01:59:08+02:00

Answer:

The correct answer option is a) y =2.

Step-by-step explanation:

We are given the following equation and we are to find its solution:

[tex] | 1 0 - 5 y | = 2 0 [/tex]

Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.

[tex] 1 0 - 5 y = 2 0 [/tex]

[tex] -5 y = 2 0 - 1 0 [/tex]

[tex] -5 y = 1 0 [/tex]

Ignoring the negative sign because of mod.

[tex]y=\frac{10}{5}[/tex]

y = 2