Hi there!
Here you go:
x = peanut butter, y = oats
A. Write an equation for the total amount of carbohydrates.
2x + 5y = 31
B. Write an equation for the total amount of protein.
6x + y = 23
C. Determine the augmented matrix that represents the equations from A and B.
Write out just the coefficients:
2 5 31
6 1 23
D. Solve for the matrix. Show all work.
Subtract 3 times the first line from the second line...
3 times the first line = 2*3 5*3 31*3 = 6 15 93
Subtract that:
2 5 31
0 -14 -70
Divide the second line by -14:
2 5 31
0 1 5
Subtract 5 times the second row from the first one...
5 times the second one = 0*5 1*5 5*5 = 0 5 25
Do the subtraction:
2 0 6
0 1 5
Divide the first row by 2:
1 0 3
0 1 5
E. How many tablespoons of each is needed?
You need 3 tablespoons of peanut butter.
You need 5 tablespoons of oats.
Let me know if you have any questions before you Accept. Thanks,
Scott
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