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Q44.

Expert-verifiedFound in: Page 689

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 $\left(25,1\right)$.

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

substitution method.

Given equation,

$u-30v=-5$ …….(1)

**$-3u+80v=5$ **…….(2)

Multiplying equation (1) for u,

$u=-5+30v$ ……..(3)

Substituting equation (3) in equation (2),

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

Subtracting $15$ on both sides,

$-10v=-10$

Dividing both sides by -10

$v=1$

Substituting back value of v in equation (3)

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

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