Answer pls lol. also please make sure to explain it!

Mathematics

1 answer:

o-na [289]3 years ago

8 0

Answer:

He made 5 2-pointers and 4 3-pointers

Step-by-step explanation:

Let x = number of 2-pointers he scored.

Let y = number of 3 pointers he scored.

The total number of shots he made is x + y, and it it equals 9.

The first equation is

x + y = 9

The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.

The second equation is

2x + 3y = 22

We have a system of 2 equations.

x + y = 9

2x + 3y = 22

We will use the substitution method.

Solve the first equation for x.

x = 9 - y

Now substitute 9 - y in for x in the second equation.

2x + 3y = 22

2(9 - y) + 3y = 22

18 - 2y + 3y = 22

y + 18 = 22

y = 4

Now we substitute 4 for y in the first equation and solve for x.

x + y = 9

x + 4 = 9

x = 5

Answer: He made 5 2-pointers and 4 3-pointers

Check:

5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.

Now we check the number of points.

5 * 2 + 4 * 3 = 10 + 12 = 22

22 points is the correct total.

Our answer is correct.

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