The meridian girls basketball team scored a total of 80 points in a basketball game. Meridian made a total of 37 two point and three point baskets how many two point shots and three point shots did they make?

They make 31 two point shots and 6 three point shots.

Step-by-step explanation:

Given:

The meridian girls basketball team scored a total of 80 points in a basketball game.

Now, to find the two point shots and three point shots they make.

Let the 2 point shots be

And let the 3 point shots be

So, the total baskets:

 ....(1)

And, the total points:

Substituting the value of from equation (1):

Subtracting both sides by 74 we get:

The 3 point shots = 6.

Now, substituting the value of in equation (1):

The 2 point shots = 31.

Therefore, they make 31 two point shots and 6 three point shots.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1