Solve for x and y: 3x+7y=22 12x+28y=88

Answers

Answer 1

Answer:

Final answer:

The system of linear equations 3x + 7y = 22 and 12x + 28y = 88 actually represents the same line, indicating that there are infinite solutions. Any pair of (x, y) that satisfies one equation will satisfy the other.

Explanation:

To solve the system of linear equations 3x + 7y = 22 and 12x + 28y = 88, let's use substitution or elimination method. Here, the elimination method works best since the equations are multiples of each other. Divide the second equation by 4, you get 3x + 7y = 22, which is exactly the same equation as the first equation.

This means both equations represent the same line, so there are infinite solutions. Any x, y that satisfy one equation will satisfy the other. Therefore, the system is dependent.

Example of such solutions (x, y) can be obtained by isolating y in the first equation:

7y = 22 - 3x

y = (22 - 3x) / 7 or y = 9 + 3x

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Answer 2

Answer:

Final answer:

The given system of equations has infinitely many solutions.

Explanation:

To solve for x and y in the given system of equations:

3x + 7y = 22

12x + 28y = 88

Multiply the first equation by 4 to eliminate the y variable:

12x + 28y = 88

Subtract the second equation from the first equation:

12x + 28y - 12x - 28y = 88 - 88

0 = 0

Since both variables have been eliminated, the equations are dependent and have infinitely many solutions. The solution is any pair of (x, y) values that satisfies the original equations.

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Answers

Answer:

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Step-by-step explanation:

4 × 6 = 24 songs

I hope this helps!

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Answers

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Answers

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Answers

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Ms. Leong owned an ice cream store and had chocolate and vanilla ice cream for sale. She sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. If she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, how many scoops of ice cream did Ms. Leong have altogether at first?

Answers

Answer: 140 scoops.

Step-by-step explanation:

We know that she sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. She originally had 20 scoops of chocolate and 30 of vanilla left.

so those 20 scoops of chocolate are 1/4 of the total amount that she had before, then the total amount is equal to 4 times 20 scoops = 80 scoops of chocolate.

We also know that 30 scoops of vanilla are one half of the initial number, so the initial number must be equal to two times 30 scoops = 60 scoops.

Now, adding those numbers we have 60 + 80 = 140 scoops in total at the beginning of the day.

The answer is 140 scoops of ice cream total .

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