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Katarina [22]
3 years ago
13

How many solutions does this linear system of equations have?

Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0
It has infinite solutions
Irina18 [472]3 years ago
4 0
It has infinite solutions
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Every evening Jenna emptied her pocket and put your change in a jar at the end of the week she counts her money one week she had
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Answer:

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Step-by-step explanation:

Let Q = the number of quarters and D = the number of dimes.

Then:

1) Q+D = 40 "One week she had 40 coins, all of them dimes and quarters...."

2) 0.25Q+0.1D = $7.75 "...she had a total of $7.75."

Rewrite equation 1) as: D = 40-Q and substitute into equation 2).

2a) 0.25Q+0.1(40-Q) = 7.75 Simplify the left side.

 

2b) 0.25Q+4-0.1Q = $7.75 Subtract 4 from both sides.

2c) 0.25Q-0.1Q = 3.75 Combine the like-terms on the left side.

2d) 0.15Q = 7.75 Divide both sides by 0.15

2e) Q = 25 and:

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D = 40-25

D = 15

Jenna had 25 quarters and 15 dimes.

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