At a basketball game, a team made 52 successful shots. They were a combination of 1- and 2-point shots. The team scored 87 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were 2-point shots and 1-point shots.

17 for 1 point shots and 35 for two point shots.

Step-by-step explanation:

let the number of 1 point shots be x

let the number of 2 point shots be y

x + y = 52          (1)

x + 2y = 87        (2)

subtracting (1) from (2)

y = 35

from (1) x = 52 - y = 52 - 35 = 17

Hence number of 1 pointers = 17

number of 2 point shots = 35

checking; 17 + 35 =52 ; and 17+ 2*35 = 87

b

step-by-step explanation:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0