Question

Question 38:

Julie set up a stand where she sold bracelets and lemonade. She graphed a system of equations to show her profit based on how many items she sold.

The first equation relates the number of bracelets, x, she sold to her profit, y, in dollars from selling bracelets.

The second equation relates the number of cups of lemonade, x, she sold to her profit, y, in dollars from selling lemonade.

She determined the solution to her system of equation was (3, -4).

Which system of equations could be the system of equations Julie graphed because it has a solution of (3, -4)?

(1 point)

3x+y=5 and −x−y=−13



−3x+y=−5 and x−y=7



−3x−y=−13 and x+y=−1



3x−y=13 and −x+y=−7


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Answer 1

Answer: 3x − y = 13 and −x + y = −7.

Check: For (3, −4), 3(3) − (−4) = 9 + 4 = 13 and −3 + (−4) = −7.