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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

Sagot :

Answer:

5 weeks

Step-by-step explanation:

To find out after how many weeks sibling A (represented by y=10x+25) and sibling B (represented by y=5x+50) will have the same amount of money, we need to set their equations equal to each other:

10x+25=5x+50

Let's solve for

x:

10−5=50−25

5x=25

=5

x=5

Therefore, after 5 weeks, sibling A and sibling B will have the same amount of money in their savings accounts.

To confirm:

For sibling A after 5 weeks:

=10⋅5+25=50+25=75

y=10⋅5+25=50+25=75

For sibling B after 5 weeks:

=5⋅5+50=25+50 = 75

y=5⋅5+50=25+50=75

Both siblings will indeed have $75 after 5 weeks.

olumideolawoyin

Answer:

5 weeks

Step-by-step explanation:

Their savings accounts have the same amount of money, when y = 10x + 25 = 5x + 50

Collect like terms.

10x - 5x = 50 - 25

5x = 25 Divide both sides by 5

x = 25 / 5

x = 5

Therefore, in 5 weeks their savings accounts have the same amount of money

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