Chapter 11: Q 6. (page 728)

Write the augmented matrix of the given system of equations.
$\{\begin{cases} 3 x + 4 y = 7 \\ 4 x - 2 y = 5 \end{cases}$

Short Answer

Expert verified

The solution is $[\begin{matrix} 3 & 4 \\ 4 & - 2 \end{matrix} \begin{matrix} | \\ | \end{matrix} \begin{matrix} 7 \\ 5 \end{matrix}]$ .

Step by step solution

Step 1. Given information.

The given system of equations is $\{\begin{cases} 3 x + 4 y = 7 \\ 4 x - 2 y = 5 \end{cases}$ .

Step 2. Determine the augmented matrix.

An augmented matrix is used to represent a system of linear equations.

For writing an augmented matrix, the variables of each equation in the system of equations must be on the left side of equal sign and constants on the right side.

A variable that does not appear in the equation has a coefficient zero.

Hence, the required augmented matrix is $[\begin{matrix} 3 & 4 \\ 4 & - 2 \end{matrix} \begin{matrix} | \\ | \end{matrix} \begin{matrix} 7 \\ 5 \end{matrix}]$ .

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Write the augmented matrix of the given system of equations.
$\{\begin{cases} 3 x + 4 y = 7 \\ 4 x - 2 y = 5 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the augmented matrix.

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Write the augmented matrix of the given system of equations.3x+4y=74x-2y=5

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the augmented matrix.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the augmented matrix of the given system of equations.
$\{\begin{cases} 3 x + 4 y = 7 \\ 4 x - 2 y = 5 \end{cases}$