Question

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

Answer 1

Answer:

The System of linear equations are:

$2a+3b = 82$  

$a+b=38$

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.

⇒ $2a+3b = 82$  

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

⇒$a+b=38$

therefore, the system of linear equations are:

$2a+3b = 82$  

$a+b=38$

Answer 2

Answer:

Linear equations are  $a+b=38$ and $2a+3b=82$

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 $a+b=38$ .....[1]

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

Equation form is $2a+3b=82$ ......[2]

Linear equations are  $a+b=38$ and $2a+3b=82$

We solve the two equations,

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

$2(38-b)+3b=82$

$76-2b+3b=82$

$b=6$

Put back in [1]

$a+b=38$

$a+6=38$

$a=32$

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