Chapter 8.10, Problem 3BGP

To determine

The solution of the $y=\frac{1}{2}x-1$ and $x-2y=2$ by using the graphing method

Answer to Problem 3BGP

The set of eqns. $y=\frac{1}{2}x-1$ and $x-2y=2$ has $\left(1,-0.5\right)$ as solution.

Explanation of Solution

Given:

The two eqn are as:

  $\begin{array}{l}y=\frac{1}{2}x-1\\ x-2y=2\end{array}$

Calculation:

The two eqns. are described as:

  $y=\frac{1}{2}x-1$..........(1)

  $x-2y=2$..........(2)

Now, draw graph of both equations as:

  

  $\left(1,-0.5\right)$ is the point of intersection which is nothing but the solution of two graphing equations.

Conclusion:

Therefore, the solution of the set of eq. is $\left(1,-0.5\right)$ .