Question

PLEASE HELP ME????( Brainlest) Please Show Work???

Answer 1

Step-by-step explanation:

again, 2 unknowns.

x = number of 2- points baskets

y = number of 3- points baskets

we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.

x + y = 37

which gives us e.g.

x = 37 - y

and we know that with this unknown mixture they scored 80 points.

so,

2x + 3y = 80

as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.

so, again our 2 equations :

x = 37 - y

2x + 3y = 80

remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :

2×(37 - y) + 3y = 80

74 - 2y + 3y = 80

74 + y = 80

y = 6

and from

x = 37 - y

we get

x = 37 - 6 = 31

so, they had 31 2-points throws and 6 3-points throws.