Respuesta :
Answer:
The System of linear equations are:
[tex]2a+3b = 82[/tex]
[tex]a+b=38[/tex]
Step-by-step explanation:
Here, a represents the number of 2-points and b represent the number of 3-point basket.
As per the statement:
The basketball team scored 82 points from 2- points and 3-points baskets.
⇒ [tex]2a+3b = 82[/tex]
It is also given that: They make 38 baskets altogether.
⇒[tex]a+b=38[/tex]
therefore, the system of linear equations are:
[tex]2a+3b = 82[/tex]
[tex]a+b=38[/tex]
Answer:
Linear equations are [tex]a+b=38[/tex] and [tex]2a+3b=82[/tex]
Step-by-step explanation:
Given : The basketball team scored 82 points from 2- points anf 3-points baskets. They make 38 baskets altogether.
To find : The system of linear equations
Solution :
Let a represent the number of 2-points baskets.
Let b represent the number of 3-points baskets.
They make 38 baskets altogether.
Equation form is [tex]a+b=38[/tex] .....[1]
The basketball team scored 82 points from 2- points basket ,3-points baskets.
Equation form is [tex]2a+3b=82[/tex] ......[2]
Linear equations are [tex]a+b=38[/tex] and [tex]2a+3b=82[/tex]
We solve the two equations,
Put a=38-b from [1] in [2]
[tex]2(38-b)+3b=82[/tex]
[tex]76-2b+3b=82[/tex]
[tex]b=6[/tex]
Put back in [1]
[tex]a+b=38[/tex]
[tex]a+6=38[/tex]
[tex]a=32[/tex]
Hence, There is 32 - 2 point basket and 6 - 3 points basket.
