Fiona and her friends went to a smoothie shop. they ordered three strawberry smoothies and two protein shakes for a total of $24.00. last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. the system that represents their purchases is below. x 4y = 25.50 3x 2y = 24.00 what is the price of a protein shake? $3.75 $4.50 $4.95 $5.25

The answer is: The value of the protein shake is: $ 5.25.

Step-by-step explanation:

x + 4y = 25.50 3x + 2y = 24.00, the steps to follow to solve this equation would be: a) clear x of the first, and it would be: x = 25.50 - 4y; b) now we substitute it in the second equation, and it would be as follows: 3 (25.30 - 4y) + 2y = 24.00; 76.50-12y + 2y = 24.00; 76.50 - 24.00 = 10y; y = 5.25; c) we calculate the value of x = 25.50 - 4 (5.25); 35.50 - 21 = 4.50 = x. Where the value of the protein shake is: $ 5.25.

The answer is: The value of the protein shake is: $ 5.25.

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step-by-step explanation: