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notsponge [240]
3 years ago
9

Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. |4x+3| = 9+2x

Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

Step-by-step explanation:

|4x + 3| = 9 + 2x

We see the absolute value so we have to consider 2 cases:

(1)

4x + 3 = -9 - 2x

6x = -12

x = -2

(2)

4x + 3 = 9 + 2x

2x = 6

x = 3

Let's plug in both results.

|4(-2) + 3| = 9 + 2(-2)

|-5| = 9 - 4

5 = 5

Therefore x = -2 is a solution

|4(3) + 3| = 9 + 2(3)

|15| = 9 + 6

15 = 15

Therefore x = 3 is also a solution.

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Bogdan [553]
The solution to x + 8.5 = 64.5 is 56.

    x + 8.5 = 64.5
       - 8.5   - 8.5
---------------------------
    x = 56


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16 rooms

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vovangra [49]

Answer:

C

Step-by-step explanation:

V=4 /3πr3

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3 0
3 years ago
Find the mean and range.<br><br> 26 19 23 39 31 34 23 25
sveticcg [70]
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7 0
3 years ago
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8x – 3 = -19<br><br>Who give it fast they have branliest <br>Give the correct answer step by step​
lakkis [162]

Answer:

<h2>x= -2</h2>

Step-by-step explanation:

8x - 3 =  - 19

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