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Aneli [31]
3 years ago
5

Ben bought 8 fairy sodas and 5 fairy hotdogs and spent $30.75 fairy dollars. Holly bought 7 fairy sodas and 6 fairy hotdogs and

spent $33 fairy dollars? (This is systems)
Mathematics
2 answers:
wlad13 [49]3 years ago
6 0
Set up the system of equations:

8x + 5y = 30.75
7x + 6y = 33

We'll use elimination to solve this system of equations.

Take the coefficients for y in both problems. Multiply one of them by -1:

5 \times -1 = -5

Since this coefficient is taken from the first problem, we'll multiply the entire second problem by this negative coefficient:

(7x + 6y = 33) \times -5 = -35x - 30y = -165

Take the coefficient for y in the second problem and multiply the entire first problem by that coefficient:

(8x + 5y = 30.75) \times 6 = 48x + 30y = 184.50

Your system should now look like this:

48x + 30y = 184.50
-35x - 30y = -165

Combine these two equations to cancel out y:

13x = 19.50

Divide both sides by 5 to get x by itself:

x = 1.5

A fairy soda costs $1.50.

Because we know the value of one of the variables, we can plug it into one of the equations:

8(1.5) + 5y = 30.75
12 + 5y = 30.75

Subtract 12 from both sides:

5y = 18.75

Divide both sides by 5 to get y by itself:

y = 3.75

A fairy hotdog costs $3.75.
muminat3 years ago
6 0

Answer:

Fairy hotdog cost 3.75, while a fairy soda costs $1.50.

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