4.5k views
5 votes
Create a third equation that could be added to the system so that this solution does not change the graph line on the coordinate plane above (PART C)

Create a third equation that could be added to the system so that this solution does-example-1

1 Answer

3 votes

Given that the solution of the initial system of equations is (1,4), we need to find a third line such that it goes through (1,4); then,


\begin{gathered} y=ax+b \\ and \\ (1,4) \\ \Rightarrow4=a+b \end{gathered}

We can set any value for a; for example, a=1; thus,


\begin{gathered} a=1 \\ \Rightarrow4=1+b \\ \Rightarrow b=3 \end{gathered}

Therefore, one possible third line is


y=x+3

The green line is the one you need to graph, the others have already been plotted.

Create a third equation that could be added to the system so that this solution does-example-1
User Steve Peak
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories