Question

a basketball player scored 30 times during one game. she scored a total of 54 points, two for each two point shot and one for each free throw. how many two point shots did she make? how many free throws?
so far i did
x+y=30
2x+y=54
what are next steps?

Answer 1

please help
@ganeshie8 @ace-n-it

Answer 2

x = # of two-point shots made
y = # of free throws made


solve the first equation for y
x+y=30
x+y-x=30-x
y = 30-x


plug this into the other equation
2x+y=54
2x + (30-x) = 54
2x - x + 30 = 54
x+30 = 54


I'll let you finish up

Answer 3

x=24

Answer 4

@jim_thompson5910

Answer 5

let me check @pphalke

Answer 6

correct, nice job

Answer 7

if x = 24, then what is y?

Answer 8

do i put the x i got in 2x+y=54?

Answer 9

you can plug it into that or into x+y = 30

Answer 10

x+y = 30 may be easier

actually y = 30-x may be easiest

Answer 11

i got x=24 and y=6 when i pluged it in to 2x+y=54? does that sound right

Answer 12

@jim_thompson5910

Answer 13

let's check

x+y = 30
24+6 = 30
30 = 30 ... works


2x + y = 54
2*24 + 6 = 54
48 + 6 = 54
54 = 54 ... works

answer is confirmed

Answer 14

so 24 and 6 are right answers so that means the basketball player made 24 two point shots and 6 free throws

Answer 15

bingo