Question

Can you graph I need be able to see if I did it right, these are practice questions

Answer 1

Given the system of equations;

`\begin{gathered} y=x-1\ldots\ldots\ldots.\ldots\text{.}\mathrm{}\text{equation 1} \\ y=3x+1\ldots\ldots\ldots\ldots.equation\text{ 2} \end{gathered}`

To plot each of these lines on a graph, we would need to get some points such that we could use it to draw a straight line.

For equation 1;

`\begin{gathered} \text{When x=0,} \\ y=0-1 \\ y=-1 \\ (0,-1) \\ \text{When y=0} \\ 0=x-1 \\ x=1 \\ (1,0) \end{gathered}`

Now, you draw a line joining these points together, we have;

Similarly, we would apply same to equation 2, we have;

`\begin{gathered} \text{When x=0;} \\ y=3(0)+1 \\ y=1 \\ (0,1) \\ \text{When y=0;} \\ 0=3x+1 \\ x=-0.333 \\ (-0.333,0) \end{gathered}`

Then, we have its graph as;

Now, the combination of the two graphs is;

The solution of the system of equation is;

`(-1,-2)`

CORRECT OPTION: C