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34kurt
3 years ago
9

Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans

she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
Mathematics
2 answers:
Valentin [98]3 years ago
7 0
15x + 28y = 116
x + y = 6

that would be ur system of equations

Gemiola [76]3 years ago
7 0

Answer:

Thus, the system of equations is given by,

x+y=6\\\\15x+28y=116

Step-by-step explanation:

We are given that,

The number of 15-ounce cans = x and the number of 28-ounce cans = y.

Denise bought total 6 cans. So, we have,

x+y=6

Also, she bought total of 116 ounces of beans with 15 ounces in 'x' cans and 28 ounces in 'y' cans.

So, the equation is 15x+28y=116

<h3>Thus, the system of equations is given by,</h3>

x+y=6\\\\15x+28y=116

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You would plug in the number that's in the x spot in x, and the number in the y spot in y.

Let's start of with the first problem:

First thing you would do is plug in (-1) to x, and 6 to y.

Your equations would look like this:

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What you would now do is solve the equations. When you solve them, you would get these answers

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For #1, it would be no solution because the numbers do not equal each other. (Fun fact) If one of them ends up as a solution, but the other is no solution, the answer would be no solutions because BOTH of them have to be a solution to the equations given in order to be a solution.

If you do the same strategy, (plugging in the numbers to x and y), you would get the rest of the answers for the problems.

I hope this helps, if you need any more assistance, I would be glad to help!




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lidiya [134]
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