Question

Dakarai wrote the system of linear equations below. 7x+8y=28 and -3x+9y=-24 Dakarai then wrote the coefficient Matrix that represented this system. Which Matrix could she have written?

7 8
-3 9

7 -3
8 9

7 8 28
-3 9 -24

7 -3 28
8 9 -24

Answer 1

A

7 8

-3 9

Explanation:

just took it on edge!

Answer 2

The system of linear equations
`a_1x+b_1y=c_1\\a_2x+b_2y=c_2`

can be represented in the form of the Matrix as
`AX=B`

Where
`image`

The matrix A is called the coefficient matrix of the system of linear equations.

Here the given system of linear equation as:

`7x+8y=28 \\ -3x+9y=-24`

The matrix form of the given system of equation as

`image`

The coefficient matrix of A is
`image`