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Q40.

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Precalculus Mathematics for Calculus
Found in: Page 689
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

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.

2x3y=814x21y=3

Hence, the solution of the system of equations 2x3y=814x21y=3 has no solution hence inconsistent.

See the step by step solution

Step by Step Solution

Step 1. Given information.

Given a system of equations 2x3y=814x21y=3

substitution method.

Step 2. Write down the concept.

Given equation,

2x-3y=-8 …….(1)

14x-21y=3 …….(2)

We are solving equation (1) for x,

x=-12-8+3y ……..(3)

Step 3. Determining the angle

We are substituting equation (3) in equation (2),

144+32y21y=356+21y21y=3

Adding 56 on both sides,

0=59

Since, this is false so the system is inconsistent, i.e. no solution.

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