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adoni [48]
2 years ago
7

What are the two cases for 丨4x - 1丨= 19?

Mathematics
2 answers:
11111nata11111 [884]2 years ago
8 0

Answer:

Step-by-step explanation:

x = 5

sineoko [7]2 years ago
4 0

Answer:

x=5 and -17/4

Step-by-step explanation:

The two equations for 丨4x - 1丨= 19 is

4x-1=19

and

4x-1=-19

So for 4x-1=19

4x=20

x=5

4x-1=-18

4x=-17

x=17/4

Hope this helps!

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30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

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Luke = y

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<u>30 years ago</u>

Zoe was 2/3 as old as Luke

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<u>18 years ago</u>

Zoe was 5/6 as old as Luke

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So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

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Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

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