Solving Linear Systems by Graphing

Graph the equation y=2x-4 and 2y=4x-8 on the graph below. Is there anything special about these equations?

Charles and Amy are summer interns at a state park. They are helping to plant trees in an area where there was a forest fire. Charles’s uncle owns a tree nursery and is willing to donate a 3-foot tall tree that will grow 1.5 feet per year. Amy goes to another nursery, but is only able to get tree seeds donated. According to the seed package, the trees will grow 1.75 feet per year. Amy thinks that even though her tree will be much shorter than Charles’s tree for the first several years, it will eventually be taller because it grows more each year, but she does not know how many years it will take for her tree to grow as tall as Charles’s tree. Make two equations: one for Charles's tree, one for Amy's tree. Write these equations below with y and x

Now that you have the equations, use those and graph them on the graph below. Find what year the trees will be the same height. (hint: add units to your answer)

Below are the equations and graphs of two lines. Investigate these lines equations and graphs then explain the "solution" to these

What exactly is a "solution" to two linear equations? How is it different than a solution to one linear equation?

Based on what we've seen with systems of linear equations, how many solutions can they have? (select all that apply)

Here are equations of two lines: y =-3x - 9 -x + 4y=24 Complete the tables for the given equations. X values are already given. Using only the tables, can you predict the solution to the system of equations?