Q. 13 solve each system of equations u... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 13 (page 795)

solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$6 x + 3 y = 12 2 x - y = - 2$

Short Answer

Expert verified

The solution to the equation is $(\frac{1}{2}, 3)$ .

Step by step solution

Step 1. Given

$6 x + 3 y = 12 2 x - y = - 2$

Step 2. Augmented matrix

$6 x + 3 y = 12 2 x - y = - 2 C o n s i d e r, 6 x + 3 y = 12 2 x + y = 4 t h e r e f o r e t h e a u g m e n t e d m a t r i x w i l l b e [\begin{matrix} 2 & 1 & 4 \\ 2 & - 1 & - 2 \end{matrix}]$

Step 3. Calculation using transformation

$[\begin{matrix} 2 & 1 & 4 \\ 2 & - 1 & - 2 \end{matrix}] R_{1} = \frac{r_{1}}{2} [\begin{matrix} 2 & 1 & 4 \\ 2 & - 1 & - 2 \end{matrix}] 鈫� [\begin{matrix} 1 & \frac{1}{2} & 2 \\ 2 & - 1 & - 2 \end{matrix}] N o w R_{2} = r_{2} - 2 r_{1} [\begin{matrix} 1 & \frac{1}{2} & 2 \\ 2 & - 1 & - 2 \end{matrix}] 鈫� [\begin{matrix} 1 & \frac{1}{2} & 2 \\ 0 & - 2 & - 6 \end{matrix}] N o w R_{2} = \frac{r_{2}}{- 2} [\begin{matrix} 1 & \frac{1}{2} & 2 \\ 0 & - 2 & - 6 \end{matrix}] 鈫� [\begin{matrix} 1 & \frac{1}{2} & 2 \\ 0 & 1 & 3 \end{matrix}] t h u s w e g e t x + \frac{1}{2} y = 3 y = 3 t h e r e f o r e (x, y) = (\frac{1}{2}, 3)$

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91影视

solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$6 x + 3 y = 12 2 x - y = - 2$

Short Answer

Step by step solution

Step 1. Given

Step 2. Augmented matrix

Step 3. Calculation using transformation

One App. One Place for Learning.

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91影视

solve each system of equations using matrices.If the system has no solution, say that it is inconsistent.6x+3y=122x-y=-2

Short Answer

Step by step solution

Step 1. Given

Step 2. Augmented matrix

Step 3. Calculation using transformation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

solve each system of equations using matrices.
If the system has no solution, say that it is inconsistent.
$6 x + 3 y = 12 2 x - y = - 2$