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Q6.

Expert-verifiedFound in: Page 697

Book edition
7th Edition

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

Pages
948 pages

ISBN
9781337067508

**Is the System of Equations Linear?**

**State whether the equation or system of equations is linear.**

$\left\{\begin{array}{l}x-2y+3z=10\\ 2x+5y=2\\ y+2z=4\end{array}\right.$

Hence all the equations in the system of equations is linear:

**$\begin{array}{l}x-2y+3z=10\\ 2x+5y=4\\ y+2z=2\end{array}$**

We are given the set of linear equations that is-

$\left\{\begin{array}{l}x-2y+3z=10\\ 2x+5y=4\\ y+2z=2\end{array}\right.$

An equation that is presented by the combination of two variables and a constant is known as a linear equation.

The given system of equation is linear as all the equation in the system of equations has the form $ax+by+cz+d=0$ where $a,b,c,d$ are constants.

So, the given system of equations is linear.

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