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:
