When Megan solved this system using the elimination method , she added the equations together and got the equation 4y = 16. Then
1 answer:
Answer:
Megan added the equations together but she subtract 4 instead of addition of 4. The correct solution is (1,6).
Step-by-step explanation:
The given equations are
...(1)
.... (2)
Add both equations to eliminate x.
Megan make a mistake in this step. She added the equations together but she subtract 4 instead of addition of 4.
Divide both sides by 4.
Put this value in equation (1).
Divide both sides by 2.
Therefore the correct solution is (1,6).
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Step-by-step explanation:
Direct variation is essentially a linear equation, where there is a constant rate. Direct variation can be applied to many things, and we can use it to represent how much money someone has in their bank account after "x" weeks if they're depositing a constant amount of money each week.
So a practical example would be: If someone just opened a bank account and deposits $50 every week, how many weeks will it take for them to have $400 in their account.
So the slope is given in the question, it's $50, since their depositing that constant amount each week. So this gives us the equation: where x represents the amount of weeks. The y represents the amount of money they have, and since we want to find when this equals 400, we set the y=400, and then solve for x. This gives us the equation:
. Dividing both sides by 50 you get:
. So it'll take 8 weeks to have $400 dollars, if you deposit 50 dollars each week.