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Ivanshal [37]
3 years ago
12

How many solutions are there to the equation below? 4(x-5)=4x-24

Mathematics
2 answers:
Gelneren [198K]3 years ago
7 0

Answer: There are no solutions.


Step-by-step explanation:


4x-20=4x-24

Cancel 4x on both sides

-20=-24

This isn't true so there are no solutions.

blondinia [14]3 years ago
6 0

It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions

4(x-5)=4x-24

distribute

4x -20 = 4x-24

subtract 4x from each side

-20 = -24

no solutions


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3 years ago
Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of
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Can someone help me with this problem://
fiasKO [112]

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).

Multiply by 12

... 4(x -1) +3(x +5) = 6

... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses

... 7x +11 = 6 . . . . . . . . . . . .collect terms

... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11

... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient

_ _ _ _ _ _ _

Here it is the other way.

... x(1/3 +1/4) +(-1/3 +5/4) = 1/2

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... x + 11/7 = 6/7 . . . . . . . multiply by 12/7

... x = -5/7 . . . . . . . . . . . subtract 11/7

At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.

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