The basketball team scored 82 points from 2- points anf 3-points baskets. they make 38 baskets altogether. let a represent the number of 2-points baskets and let b represent the number of 3-points baskets. find the system of linear equations

The System of linear equations are:

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.

⇒  

It is also given that: They make 38 baskets altogether.

⇒

therefore, the system of linear equations are:

Linear equations are   and

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 .....[1]

The basketball team scored 82 points from 2- points basket ,3-points baskets.

Equation form is ......[2]

Linear equations are   and

We solve the two equations,

Put a=38-b from [1] in [2]

Put back in [1]

Hence, There is 32 - 2 point basket and 6 - 3 points basket.

where's the diagrams?

the balance is found at the link

step-by-step explanation: