Respuesta :
Answer:
Step-by-step explanation:
let, ryan made x 3 point shots and y 2 point shots.
we know, x + y = 12
y = 12- x ........eqn1
we also know,
total points he made = 32
3x + 2y = 32 .......eqn2
solve eqn 1 and eqn 2
A system of equations that could be used to determine the number of three point shots Wyatt made in the number of two point shots he made is:
- x+y = 12 (x denotes number of shots of 2 points, and y denotes number of shots of 3 points)
- 2x + 3y = 32
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we take:
- x = number of shots made by Wyatt of 2 points,
- y = number of shots made by Wyatt of 3 points,
Then, as we're given that:
Wyatt made a total of 12 shots altogether
And, as we have:
[tex]x + y[/tex] = Total number of shots
Thus, we get:
[tex]x+y = 12[/tex]
Also, as total scores from 2 point shots is [tex]2 \times x[/tex],
and total scores from 3 point shots is [tex]3 \times y[/tex]
Thus, total points earned by Wyatt for the considered game = [tex]2x + 3y[/tex]
But, its given that he scored a total of 32 points, therefore, we get:
[tex]2x + 3y = 32[/tex]
Thus, we got a system of two linear equations in x and y as:
[tex]x+y = 12\\2x + 3y = 32[/tex]
Thus, a system of equations that could be used to determine the number of three point shots Wyatt made in the number of two point shots he made is:
- x+y = 12 (x denotes number of shots of 2 points, and y denotes number of shots of 3 points)
- 2x + 3y = 32
Learn more about forming equations here:
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