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Troyanec [42]
3 years ago
10

A person purchased 10 items to donate to a school. They bought backpacks that cost $25.75 each and notebooks that cost $4.25 eac

h. The total cost of the items is $150. This situation can be represented by a system of equations with a unique solution.
What does the solution (x, y) to the system of equations represent in this context?



A. the cost of all the backpacks



B. the cost of all the notebooks



C. the total amount of money spent on the items



D. the number of backpacks and notebooks purchased
Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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Distinguish whether the ordered pair (16, -3) is a solution to:
sammy [17]
I believe you should try to plug in the ordered pair to see if the solutions work.

The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.

Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.

Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.

(16,-3) is a solution to both equations.

Hope this helps!
5 0
3 years ago
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