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Svetach [21]
2 years ago
10

How do you solve this absolute value equation ? |x + 7| = 3x - 5

Mathematics
2 answers:
Katarina [22]2 years ago
6 0

Answer:

x=6

Step-by-step explanation:

x+7=3x-5

add 5 to both sides

x+12=3x

subtract x from both sides

12=2x

divide by 2 on both sides

6=x

RUDIKE [14]2 years ago
5 0
Hope this helps :) X=6

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Find<br>a,b<br>such<br>that 7.2, a, b, 3 are in A.P.​
leonid [27]

Answer:

  • The value of a = 5.8
  • The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

2a = 7.2+b

b = 2a - 7.2

as

a, b, 3 are also in A.P

2b\:=\:a\:+\:3

Putting b = 2a - 7.2

2\left(2a-7.2\right)=a+3

4a-14.4=a+3

\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}

4a-14.4+14.4=a+3+14.4

4a=a+17.4

4a-a=a+17.4-a

3a=17.4

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3a}{3}=\frac{17.4}{3}

a=5.8

Now, plugging a=5.8 in b = 2a - 7.2

b=2\left(5.8\right)-7.2

b=2\cdot \:5.8-7.2

b=11.6-7.2

b=4.4

Therefore,

  • The value of a = 5.8
  • The value of b = 4.4
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