At school basketball games you can buy 3 sodas and 2 pretzels for $4.80 or you can buy 1 soda and 1 pretzel for $2.00.

Write system equation that represents the situation:

Solve the system using your graph calculator.

A) soda: $0.20 pretzels: $1.80
B) soda: $0.80 pretzels: $1.20
C) soda: $2.88 pretzels: $1.92
D) soda: $0.50 pretzels: $0.50

B) soda: $0.80 pretzels: $1.20

Step-by-step explanation:

system of equations:

3s+2p=4.80

1s+1p=2.00

solve:

-2(1s+1p=2.00) = -2s-2p=-4.00

3s+2p=4.80

-2s-2p=-4.00

1s=0.80

3(0.80)+2p=4.80

2.40+2p=4.80

2p=2.40

p=1.20

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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step-by-step explanation: