Write each system of linear equations as an augmented matrix: Part (a): 2x+4y=-53x-2y=2Part (b): 3x-2y-z=-2-2x+y=55x+4y+z=-1

Part (a): The augmented matrix is 24-53-22.Part (b): The augmented matrix is 3-2-1-2-2105541-1.

Q. 197 - Intermediate Algebra

Write each system of linear equations as an augmented matrix:

Part (a): $\{\begin{cases} 2 x + 4 y = - 5 \\ 3 x - 2 y = 2 \end{cases}$

Part (b): $\{\begin{cases} 3 x - 2 y - z = - 2 \\ - 2 x + y = 5 \\ 5 x + 4 y + z = - 1 \end{cases}$

Verified

Answer

Part (a): The augmented matrix is $[\begin{array}{r} 2 & 4 & - 5 \\ 3 & - 2 & 2 \end{array}]$ .

Part (b): The augmented matrix is $[\begin{array}{cccr} 3 & - 2 & - 1 & - 2 \\ - 2 & 1 & 0 & 5 \\ 5 & 4 & 1 & - 1 \end{array}]$ .

1Part (a) Step 1. Given information and write in augmented matrix.

Consider the given system of equations,

$\{\begin{cases} 2 x + 4 y = - 5 \\ 3 x - 2 y = 2 \end{cases}$

Here all the equations are in the standard form.

Write the augmented matrix,

$[\begin{array}{r} 2 & 4 & - 5 \\ 3 & - 2 & 2 \end{array}]$

2Part (b) Step 1. Given information and write in augmented matrix.

Consider the given system of equations,

$\{\begin{cases} 3 x - 2 y - z = - 2 \\ - 2 x + y = 5 \\ 5 x + 4 y + z = - 1 \end{cases}$

Here all the equations are in the standard form.

Write the augmented matrix,

$[\begin{array}{cccr} 3 & - 2 & - 1 & - 2 \\ - 2 & 1 & 0 & 5 \\ 5 & 4 & 1 & - 1 \end{array}]$