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Q13.

Expert-verifiedFound in: Page 688

Book edition
7th Edition

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

Pages
948 pages

ISBN
9781337067508

**Graphical Method**

**Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system.**

**$\left\{\begin{array}{l}2x+y=-1\\ x-2y=-8\end{array}\right.$**

Hence, the intersection points of the graphs by solving the system are $x=-2\&y=3$

We are given the system of linear equations that is-

$\left\{\begin{array}{l}2x+y=-1\\ x-2y=-8\end{array}\right.$

The system of linear equations is the collection of one or more linear equations involving the same set of variables.

We need to find the intersection points of the graphs by solving the system. By the Graphical Method, we will calculate the result.

We multiply the first equation by $2$ and add the second equation to eliminate the $y$

$\begin{array}{l}2\times [2x+y=-1]\\ 4x+2y=-2\\ x-2y=-8\end{array}$

Further solving,

$\begin{array}{l}(4x+x)\\ 5x=-10\\ x=-2\end{array}$

We Substitute the value of *x* in any of the original equations to get back the value of *y*

$\begin{array}{l}-2-2y=-8\\ 2y=8-2\\ 2y=6\\ y=3\end{array}$

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