Mike made 24 baskets on Friday and Steve made 8 baskets on Friday.
Step-by-step explanation:
Let,
Baskets shot by Mike = x
Baskets shot by Steve = y
According to given statement;
On Friday mike and Steve shot baskets and mike made three times as many as Steve.
x = 3y Eqn 1
on Saturday mike made seven fewer baskets than he did on Friday.
Baskets of Mike = x-7
Steve made nine more than he did on Friday.
Baskets of Steve = y+9
As they both tied on Saturday, therefore,
Baskets of Mike on Saturday = Baskets of Steve on Saturday
[tex]x-7=y+9[/tex]
Putting x=3y from Eqn 1
[tex]3y-7=y+9\\3y-y=9+7\\2y=16[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{16}{2}\\y=8[/tex]
Putting y=8 in Eqn 1;
[tex]x=3(8)\\x=24[/tex]
Mike made 24 baskets on Friday and Steve made 8 baskets on Friday.
Keywords: linear equation, substitution method
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