Answer:
Number of points shoot, x=17
Number of free shoot, y=7
Explanation:
Let us consider,
point shoot as x
free shoot as y.
Question say " A basketball player scored 24 times during one game "
Therefore, Number of point shoot + Number of free shoot = 24
Numerically we get,
x+y=24
Now, Free shoot gives one point and point shoot gives two points.
She scored total of 41 points.
2x+y=41
we get two equations
x+y=24
2x+y=41
By solving above linear equations...
we can write, y=24-x
replacing y value in 2x+y=41
2x+24-x=41
x=17
To find value of y, replace x vaule in any equation
say, x+y=24
17+y=24
y=7
Thus, x=17 and y=7
Number of points shoot, x=17
Number of free shoot, y=7