Graphing is a good method when you have small integers or fractions as your slope.
Substitution is a good method when you have two equations, and when one of the coefficient of the variables is one.
Linear combinations is a good method when you have the same coefficient for the same variable in 2 different equations.
F + g = 23
f+g-g=23-g
f = 23-g
f + 2g =34
23-g+2g=34
23+g=34
23-23+g=34-23
g = 11
f + g = 23
f + 11 = 23
f +11-11 =23-11
f = 12
Check
f + 2g =34
12 + 2(11) =34
12 + 22 = 34
34=34
She made 11 free throws and 12 field goals
(-8/3,0) ; (3/5,0) ; (-1,0)
The Answer is x=2 for this problem