Marni writes this system to determine how much of each ingredient Alyssa plans to buy. She uses x to represent cups of frozen fruit puree and y to represent cups of yogurt.

x + y = 6,
2x + 3y = 14

To solve this system using the linear combination method, Marni multiplies the first equation by −2 to eliminate the x variable.

−2x − 2y = −12
2x + 3y = 14

Finish solving the system to determine how many cups of fruit puree and yogurt Alyssa will buy.

Marni determined that Alyssa plans to purchase
cups of fruit puree and

cups of yogurt.