For a client, a landscaper purchases 3 oak trees and 4 maple trees for $380. For his own home, the landscaper purchases 2 oak trees and 5 maple trees for $370. Which augmented matrix represents the situation?

You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations. Oak trees is x and maple trees is y. The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370. In matrix form, that would be [tex] \left[\begin{array}{ccc}3&4\\2&5\end{array}\right]= \left[\begin{array}{ccc}380\\370\\\end{array}\right] [/tex]

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poojatomarb76 poojatomarb76 · Answer 2 · 2022-07-18T07:15:20+02:00

The augmented matrix represents the situation that will be, [tex]\left[\begin{array}{ccc}3&4\\2&5\\\end{array}\right][/tex].

What is an augmented matrix?

The columns of two matrices are combined to create a new matrix known as an augmented matrix.

When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Let us consider x is the oak tree and y is the maple tree then;

⇒3 oak trees and 4 maple trees for $380;

⇒3x+4y = 370

⇒Purchases 2 oak trees and 5 maple trees for $370;

⇒2x+5y=370

The two equations are expressed in the matrix as;

[tex]\left[\begin{array}{ccc}3&4\\2&5\\\end{array}\right][/tex]

Hence, the augmented matrix represents the situation that will be, [tex]\left[\begin{array}{ccc}3&4\\2&5\\\end{array}\right][/tex].

To learn more about the augmented matrix refer;

https://brainly.com/question/16796667

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