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Daniel [21]
3 years ago
14

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Mathematics
2 answers:
liraira [26]3 years ago
5 0

Answer:12

Step-by-step explanation:

Oduvanchick [21]3 years ago
4 0

Answer:

The value is 12

Step-by-step explanation:

we have

y=-2x+4

Convert to standard form

2x+y=4 ----> equation A

Let

a ----> the missing value

6x+3y=a ----> equation B

we know that

If the system of equations A and B has infinitely solutions, then equation A and equation B are identical

Multiply equation A by 3 both sides

3(2x+y)=3(4)

6x+3y=12 ----> new equation A

Equate new equation A and equation B

a=12

therefore

The value is 12

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Tammy uses 1 3/4 cups of laundry detergent. The number of loads is 4

<u>Solution:</u>

Given that, Tammy uses 1 3/4 cups of laundry detergent per load.  

When she was finished doing laundry one day.  

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We have to find how many loads did she do?

Now, we know that, Total cups used can be written as:

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\begin{array}{l}{\text { Then, number of loads } \times 1 \frac{3}{4}=7} \\\\ {\text { Number of loads } \times \frac{1 \times 4+3}{4}=7} \\\\ {\text { Number of loads } \times \frac{7}{4}=7} \\\\ {\text { Number of loads }=7 \times \frac{4}{7}=4}\end{array}

Hence, the number of loads are 4.

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