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2 months ago

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The basketball team scored 82 points from 2- points anf 3-points baskets. They make 38 baskets altogether. Let a represent the n

umber of 2-points baskets and let b represent the number of 3-points baskets. Find the system of linear equations

2 answers:

Zina [12.3K]2 months ago

7 0

Answer:

The linear equations are:

$2a+3b = 82$

$a+b=38$

Step-by-step breakdown:

Here, a denotes the quantity of 2-point shots, and b indicates the number of 3-point shots.

According to the information given:

The basketball team accumulated 82 points through 2-point and 3-point baskets.

⇒ $2a+3b = 82$

It is also stated that: They made a total of 38 baskets.

⇒ $a+b=38$

therefore, the linear equations are:

$2a+3b = 82$

$a+b=38$

Leona [12.6K]2 months ago

3 0

Answer:

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

Step-by-step breakdown:

Given: The basketball team secured 82 points from 2-point and 3-point baskets, with a total of 38 baskets made.

To find: The linear equations system

Solution:

Let a represent the number of 2-point baskets.

Let b represent the number of 3-point baskets.

They made a total of 38 baskets combined.

The first equation is $a+b=38$ .....[1]

The basketball team scored 82 points from 2-point and 3-point baskets.

The second equation is ......[2]

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

We will solve the two equations,[TAG_55]]

Substituting a=38-b from [1] into [2]

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

$76-2b+3b=82$

$b=6$

Substituting back into [1]

$a+b=38$

$a+6=38$

$a=32$

Hence, There are 32 - 2-point baskets and 6 - 3-point baskets.

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