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Help please asasp tyyyyyyyyyyyy

Help please asasp tyyyyyyyyyyyy-example-1
User Questifer
by
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1 Answer

2 votes

Answer:

One pecan cheesecake = $9

One apple cheesecake = $20

Explanation:

This is a system of equations problem, so we can set up these equations (Note: p = pecan cheesecake cost | a = apple cheesecake cost):

8p + 12a = 312

9p + 6a = 201

Now, we can solve the system of equations. Below is an example of using the elimination method to solve the system:

1. 8p + 12a = 312 --> -4p - 6a = -156

9p + 6a = 201 --> 9p + 6a = 201

2. 5p = 45

3. p = 9

4. 8(9) + 12a = 312

72 + 12a = 312

12a = 240

a = 20

1. We try to make one of the terms equal to the negative version of the other term to eliminate that term; here, I am eliminating "a". To do this, find a multiple of one of the equations where one of the terms is the negative version of the other term. In other words, divide/multiply the equation by a number so one of the terms in the equation is the negative version of the term in the other equation (I divided the first equation by -2 so 12a becomes -6a, the negative version of 6a in the second equation.

2. Next, add the two equations' corresponding terms

(-4p + 9p = 5p; -6a + 6a = 0; -156 + 201 = 45)

3. Simplify the equation (5p = 45; p = 45/5; p = 9)

4. Substitute the term you found back into one of the equations to find the other term.

User Adam Ruth
by
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