You can set the y values equal to each other and solve the system:
x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2
So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:
y=2(-3)+2
y=-4
y2(2)+2
y=6
So the coordinates are (-3,-4) and 2,6).
Answer:
Step-by-step explanation:
Let x represent a 2-point basket, and y represent a 3-point basket.
Basket equation: x + y = 16
Point equation 2x + 3y = 39
Solve using system of equations:
if x + y = 16, then x = 16 - y
Plug into the second equation:
2(16-y) + 3y = 39
32 - 2y + 3y = 39
32 + y = 39
y = 7
So the number of 3-point baskets scored was 7. Hope this helps, let me know if there’s a step you don’t understand! :)
