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Q. 18

Expert-verifiedFound in: Page 714

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

Solve each system of equations. If the system has no solution, say that it is inconsistent.$\left\{\begin{array}{r}x+2y=-7\\ x+y=-3\end{array}\right.$

The solution of the given system of equation is $x=1,y=-4;(1,-4)$.

The given equations are:

$\begin{array}{rcl}x+2y& =& -7\\ x+y& =& -3\end{array}$

The second equation can be written as:

$x=-3-y$

Substitute this in the first equation.

$\begin{array}{rcl}(-3-y)+2y& =& -7\\ -3+y& =& -7\\ y& =& -7+3\\ y& =& -4\end{array}$

Substitute $y=-4$ in $x=-3-y$.

$\begin{array}{rcl}x& =& -3-(-4)\\ & =& -3+4\\ & =& 1\end{array}$

The solution of the given system of equation is $x=1,y=-4;(1,-4)$.

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