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Two siblings, sibling A, and sibling B, are saving money for their summer vacation. The amount of money that sibling A has in their savings account, y, can be represented by the equation y = 10x + 25, where x represents the number of weeks. Sibling B's savings can be represented by the equation y = 5x + 50.

Based on the graph of this system of linear equations, after how many weeks will their savings accounts have the same amount of money?

2.5 weeks
5 weeks
15 weeks
75 weeks

2 Answers

4 votes
May I know if you have the graph of the system of equations mentioned in the question?
User Raghuram Vadapalli
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Answer:

5 weeks

Explanation:

plug the weeks into the equation so substitute "x" for the amount of weeks. 75=10*5+25

75=5*5+25

After 5 weeks both siblings have saved $75

User Artiom  Kozyrev
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8.3k points