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Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Which system of equations can be used to determine x, Ann's score and y, Ruth's score.

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Answer:

x + y = 410

x = y - 44

Explanation:

The question asks us to set up a system of equations using "x" to represent Ann's score, and "y" to represent Ruth's score. We know that they had a combined score of 410 points, which is another way of saying that the sum of the two scores is 410. This gives us our first equation, which is:

x + y = 410

The question tells us that Ann scored 44 points less than Ruth, which means our second equation would be...

x = y - 44

Therefore our system of equations is:

x + y = 410

x = y - 44

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