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Sagot :
Answer:
2-point shots: 31
3-point shots: 6
Step-by-step 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
Answer:
31 and 6
Step-by-step 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
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