Solve by graphing  set of two equations: 3x+4y=15; x-2y=7

Solution:

1. Translate both equations into a calculator-friendly form. This form could be slope-intercept form, which is most familiar to you, or it could be just one step short of slope-intercept form. If you need to review how to do solve for y, click Interactive popup. Assistance may be required. here for the steps.

Solve for y:

Set of equations solving for yClose Pop Up

2. Write the two equations in the calculator.

graphing calculator screen showing y1=(15-3x)/4 and y2=(7-x)/-2; graphing calculator screen showing y1=15/4-3/4x and y2=-7/2+1/2x; graphing calculator screen showing graphs of y=(15-3x)/4 and y=(7-x)/-2

3. Now, you want CALC which you can get from 2nd TRACE.

graphing calculator screen showing CALCULATE menu

4. Select intersect.

graphing calculator screen showing graphs of y=(15-3x)/4 and y=(7-x)/-2 and question – First curve?

5. Move the cursor close to the point of intersection and press enter for “First curve?” and “Second curve?” and “Guess?”. Then you should see the coordinates for the point of intersection/solution.

graphing calculator screen showing graphs of y=(15-3x)/4 and y=(7-x)/-2 Intersection at x=5.8 and y=0.6

The solution of this system is (5.8, -0.6). These coordinates would have been very difficult to determine from looking at the graph alone.