Question

Please help explanation if possible

Answer 1

31 and 6

Explanation:

The 2 equations modelling the situation are

x + y = 37 → (1)

2x + 3y = 80 → (2)

Multiplying (1) by - 2 and adding the result to (2) will eliminate x

- 2x - 2y = - 74 → (3)

Add (2) and (3) term by term to eliminate x

0 + y = 6

y = 6

Substitute y = 6 into (1) and solve for x

x + 6 = 37 ( subtract 6 from both sides )

x = 31

Then 2- point shots = 31 , 3- point shots = 6

Answer 2

2-point shots: 31

3-point shots: 6

Explanation:

In order to solve this system of equations, we can use the method of elimination. We can start by multiplying the equation x + y = 37 by 2 in order to get the x terms to cancel out in the next step(They can do that because we are making them the same value, 2x). So, we get:

2(x + y) = 2(37)

2x + 2y = 74

Now, we can subtract the equation 2x + 2y = 74 from the equation 2x + 3y = 80 in order to make a one-variable equation:

2x + 3y = 80

-(2x + 2y) = -(74)

y = 6

We can plug in the value of y in one of the equations to find x:

x + (6) = 37

x = 31

Since x stands for the amount of 2-point shots and y for the 3-point shots, we can say:

2-point shots: 31

3-point shots: 6