Solving a basic linear system using graphing:
x + y = 3
Equation 2
2 + 1 = 3
Equation 2 checks!
Solving a basic linear system using graphing: |
|
| 2x - 3y = 1 x + y = 3 |
Equation 1 Equation 2 |
| Next begin by graphing both equations as show at the right. From the graph, the lines appear to intersect at (2,1). This intersection shows the answers for x and y respectively. | |
| You can also check this algebraically: | |
| 2(2) - 3(1) = 1 2 + 1 = 3 |
Equation 1 checks! Equation 2 checks! |
Next is solving a word problem with graphing!
Your family is planning a 7-day trip to Florida. You estimate that it will cost $275 per day in Tampa and $400 per day in orlando. Your total budget for the 7 days is $2300. How many days should you spend in each location?
First develop your own equations |
x + y = 7 |
Now graph these two equations and find their intersection point. This is your answer. |
|
They intersect at (4,3) |
This means you should spend 4 days in Tampa and 3 days in Orlando. |