Question

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

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

Short answer

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

Step-by-step solution

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