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Found in: Page 689

### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

# 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. $\begin{array}{l}u-30v=-5\\ -3u+80v=5\end{array}$

Hence, the solution of the system of equations $\begin{array}{l}u-30v=-5\\ -3u+80v=5\end{array}$ has the ordered pair $\left(25,1\right)$.

See the step by step solution

## Step 1. Given information.

Given a system of equations $\begin{array}{l}u-30v=-5\\ -3u+80v=5\end{array}$

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),

$\begin{array}{l}-3\left(-5+30v\right)+80v=5\\ 15-90v+80v=5\end{array}$

Subtracting $15$ on both sides,

$-10v=-10$

Dividing both sides by -10

$v=1$

Substituting back value of v in equation (3)

$\begin{array}{l}u=-5+30\left(1\right)\\ u=25\end{array}$