Q 331 - Intermediate Algebra

Question

In the following exercises, solve the following system of equations by graphing 

$$\begin{gathered} x+4y=-1 \\ x=3 \end{gathered}$$

Step-by-Step Solution

Answer

The solution to the linear equations is (3,-1). 

Step 1. Given information

The given equations are

$$\begin{gathered} x+4y=-1 \\ x=3 \end{gathered}$$

Step 2. Finding the intersecting points

First, solve both of these equations for y such that their slopes and y intercepts may be easily graphed.

And find the slope and y-intercept by solving the first equation for y.

$$\begin{gathered} x+4y=-1 \\ 4y=-x-1 \\ y=-\frac{1}{4}x-\frac{1}{4} \\ \mathrm{Here} \mathrm{the} \mathrm{slope} \mathrm{is} \mathrm{m} = 4 \\ \mathrm{And} \mathrm{the} \mathrm{y}-\mathrm{intercept} \mathrm{is} b=-\frac{1}{4} \end{gathered}$$

Step 3. Graph obtained