Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Solve each equation.
$[\begin{matrix} 2 x + y \\ x - 3 y \end{matrix}] = [\begin{matrix} 5 \\ 13 \end{matrix}]$

The solution is $(4, - 3)$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 – Description of step.

As the matrices are equal, the corresponding elements are equal. Write the two linear equations to show this equality.

$\begin{matrix} 2 x + y = 5 \\ x - 3 y = 13 \end{matrix}$

Step 2 – Description of step.

Multiply $x - 3 y = 13$ by 2 and subtract $2 x + y = 5$ from the obtained equation.

$\begin{matrix} 2 x - 6 y - (2 x + y) = 26 - 5 \\ 2 x - 6 y - 2 x - y = 21 \\ - 7 y = 21 \end{matrix}$

Step 3 – Description of step.

Divide each side of $- 7 y = 21$ by $- 7$ to find the value of $y$ .

$\begin{matrix} \frac{- 7 y}{- 7} = \frac{21}{- 7} \\ y = - 3 \end{matrix}$

Step 4 – Description of step.

Substitute $- 3$ for $y$ into $x - 3 y = 13$ and simplify to find the value of $x$ .

$\begin{matrix} x - 3 (- 3) = 13 \\ x + 9 = 13 \end{matrix}$

Step 5 – Description of step.

Subtract 9 from both the sides of $x + 9 = 13$ and simplify.

$\begin{matrix} x + 9 - 9 = 13 - 9 \\ x = 4 \end{matrix}$

Therefore, the solution is $(4, - 3)$ .

Find Study Materials for

Create Study Materials

Select your language

Algebra 2

Answers without the blur.

Short Answer

Solve each equation.
$[\begin{matrix} 2 x + y \\ x - 3 y \end{matrix}] = [\begin{matrix} 5 \\ 13 \end{matrix}]$

Step by Step Solution

Step 1 – Description of step.

Step 2 – Description of step.

Step 3 – Description of step.

Step 4 – Description of step.

Step 5 – Description of step.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Algebra 2

Answers without the blur.

Short Answer

Solve each equation.2x+yx-3y=513

Step by Step Solution

Step 1 – Description of step.

Step 2 – Description of step.

Step 3 – Description of step.

Step 4 – Description of step.

Step 5 – Description of step.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Calculus

Pure Maths

Solve each equation.
$[\begin{matrix} 2 x + y \\ x - 3 y \end{matrix}] = [\begin{matrix} 5 \\ 13 \end{matrix}]$