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Q35.

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Precalculus Mathematics for Calculus

Found in: Page 688

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Solve the system, or show that it has no solution. If the system has infinitely many solutions,
express them in the ordered-pair form given in Example 6.
$\begin{array}{l} 3 x + 2 y = 8 \\ x - 2 y = 0 \end{array}$

Hence, the solution of the system of equations $\begin{array}{l} 3 x + 2 y = 8 \\ x - 2 y = 0 \end{array}$ is the ordered pair $<2, 1>$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Given a system of equations $\begin{array}{l} 3 x + 2 y = 8 \\ x - 2 y = 0 \end{array}$ substitution method.

Step 2. Write down the concept.

Given equation,

$x = 2 y$

$3 x + 2 y = 8$

$6 y + 2 y = 8$

$8 y = 8$

We are dividing both sides by 8,

$y = 1$

Step 3. Determining the angle

We are substituting equation y in equation (3),

$x = 2 (1)$

$x = 2$

Most popular questions for Math Textbooks

Solve the system, or show that it has no solution. If the system has infinitely many solutions,

express them in the ordered-pair form given in Example 6.

$\begin{array}{l} 2 x - 6 y = 10 \\ - 3 x + 9 y = - 15 \end{array}$

Substitution Method

Use the substitution method to find all solutions of the system of equations.

$\{\begin{cases} 2 x + y = 7 \\ x + 2 y = 2 \end{cases}$

Solving a General System of Equations Find x and y in

terms of a and b.

$\{\begin{cases} a x + b y = 1 \\ b x + a y = 1 \end{cases} (a^{2} - b^{2} \neq 0)$

A system of equations in two variables can be solved by the _____method, the _____method, or the ______method.

A man invests his savings in two accounts, one

paying 6% and the other paying 10% simple interest per year.

He puts twice as much in the lower-yielding account because

it is less risky. His annual interest is $3520. How much did

he invest at each rate?

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