Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

What is the value of $y$ if $[\begin{matrix} 3 x \\ y + 5 \end{matrix}] = [\begin{matrix} 9 + y \\ x \end{matrix}]$ ?
A. 2 B. 4 C. $- 3$ D. localid="1648213664321" $- 1$

The value of y is $- 3$ .

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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} 3 x = 9 + y \\ y + 5 = x \end{matrix}

Step 2 – Description of step.

Substitute $y + 5$ for x into $3 x = 9 + y$ and simplify.

\begin{matrix} 3 (y + 5) = 9 + y \\ 3 y + 15 = 9 + y \\ 3 y - y = 9 - 15 \\ 2 y = - 6 \end{matrix}

Step 3 – Description of step.

Divide each side of $2 y = - 6$ by 2 to find the value of $y$ .

\begin{matrix} \frac{2 y}{2} = \frac{- 6}{2} \\ y = - 3 \end{matrix}

Therefore, option C is the correct answer.

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Algebra 2

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Short Answer

What is the value of $y$ if $[\begin{matrix} 3 x \\ y + 5 \end{matrix}] = [\begin{matrix} 9 + y \\ x \end{matrix}]$ ?
A. 2 B. 4 C. $- 3$ D. localid="1648213664321" $- 1$

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What is the value of y if 3xy+5=9+yx? A. 2 B. 4 C. -3 D. localid="1648213664321" -1

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What is the value of $y$ if $[\begin{matrix} 3 x \\ y + 5 \end{matrix}] = [\begin{matrix} 9 + y \\ x \end{matrix}]$ ?
A. 2 B. 4 C. $- 3$ D. localid="1648213664321" $- 1$