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Q44.

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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.

u30v=53u+80v=5

Hence, the solution of the system of equations u30v=53u+80v=5 has the ordered pair 25,1.

See the step by step solution

Step by Step Solution

Step 1. Given information.

Given a system of equations u30v=53u+80v=5

substitution method.

Step 2. Write down the concept.

Given equation,

u-30v=-5 …….(1)

-3u+80v=5 …….(2)

Multiplying equation (1) for u,

u=-5+30v ……..(3)

Step 3. Determining the angle

Substituting equation (3) in equation (2),

3(5+30v)+80v=51590v+80v=5

Subtracting 15 on both sides,

-10v=-10

Dividing both sides by -10

v=1

Substituting back value of v in equation (3)

u=5+30(1)u=25

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