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s344n2d4d5 [400]
3 years ago
12

Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

a = 1

Step-by-step explanation:

Given

4x - 3(x + a) = 2

x  = 5

Required

Determine the value of a

4x - 3(x + a) = 2

Substitute 5 for x

4(5) - 3(5 + a) = 2

Open all brackets

20 - 15 - 3a = 2

5 - 3a = 2

Collect Like Terms

-3a = 2 - 5

-3a = -3

Solve for a

a = -3/-3

a = 1

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3 0
3 years ago
Whats the lcd of 1/7,14/17,12/13,5/6
gizmo_the_mogwai [7]
LCD (1/7, 14/7, 12/13, 5/6)

LCM = (7, 7, 13, 6)

=  2 * 3 * 7 * 13

=  546



1/7  = 78/546

14/7  = 1092/546

12/13  = 504/546

5/6  = 455/546




Calculation:

1/7 + 14/7 

= 1 + 14/7

=  15/7


The common denominator you can calculate as the least common multiple of the both denominators:   LCM (7, 7) = 7


Add:

15/7 + 12/13 

= 15 . 13/7. 13  + 12 . 7/13 . 7

= 195/91 + 84/91

=  195 + 84/91 

=  279/91


The common denominator you can calculate as the least common multiple of the both denominators:  LCM (7, 13) = 91



Add:

279/91 + 5/6

= 279 . 6/91 . 6 + 5 . 91/6. 91

= 1674/546 + 455/546

= 1674 + 455/546 

= 2129/546



The common denominator you can calculate as the least common multiple of the both denominators:  LCM (91, 6) = 546



Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).






Hope that helps!!!!!!


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3 years ago
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stepan [7]

Answer:

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Then add them all up to get 32/30.

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3 years ago
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