Question

The fenton college cougars made 40 field goals in a recent basketball game. Some 2 pointers and the rest 3 pointers. all together 40 baskets counted for 89 points. How many of each type of field goals was made.

Answer 1

31 2 pointers and 9 3 pointers

Answer 2

How did you get that

Answer 3

I'm sure there is a way that I just can't remember right now. But I just tried to put in some numbers. I know, not the best and most ideal way :)

Answer 4

Field goals in a basketball game?

Answer 5

yes

Answer 6

I'll ignore that.

ok so this is a systems of equations problem. Your first equation deals with total number of baskets

lets call 2 pointers x and 3 pointers y

x+y=40

your second equation deals with total points

2x+3y=89

now you have a system of equations to solve

x+y=40
2x+3y=89

Answer 7

the substitution is where im getting hung up on .

Answer 8

solve for y in the first one

y=-x+40

plug that expression into the second one for y and solve for x

2x+3(-x+40)=89

Answer 9

this is sad to say but im still lost. I don't understand math at all

Answer 10

you cant solve for x in that equation?

Answer 11

honestly no. I have been trying to get examples but no luck. I am dumb when it comes to this stuff.

Answer 12

2x-3x+120=89

-x=-31
x=31

Answer 13

would it be - 2 +40

Answer 14

X is 31.

since you know x you can find y

31+y=40
y=?

Answer 15

9

Answer 16

Yes

Answer 17

ty