How do I use a graph to solve the solution of the system of equations #y=−2x+4# and #y=−2x−3#?
1 Answer
Graph your equations and check where they intersect.
If they do intersect, you have a solution.
If not, the system of equations do not have a solution. For linear equations, this happens when the lines are parallel (i.e. they have the same slope)
For your system of equations
One look and we know that your equations have the same slope.
Your system of equations do not have a solution.
But if your graph is not accurate enough, it will be hard to know the actual answer.
Let's try to answer your system of equations algebraically.
Isolate one variable in one of the equations and substitute its equivalent to the other equation.
For your system of equations,
Let's substitute the first into the next equation
Since
