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EXAMPLE 2 Using INTERSECT to Approximate Solutions of an Equation
Find the solution(s) to the equation 3(x - 2) = 5(x - 1). Round answers to two decimal
places.
SOLUTION
Graph each side of the equation: Y
= 3(x - 2); Y
= 5(x - 1) using the viewing window
1
2
Xmin = -4, Xmax = 4, Xscl = 1, Ymin = -15, Ymax = 5, Yscl = 5.
To determine the solution, find the x-coordinate of the point of intersection. Select the
nd
CALC menu (2
TRACE). Select option 5: INTERSECT by either highlighting
INTERSECT or Pressing 5.
The calculator displays the following:
If you press the left or right arrow, you should notice the cursor TRACEing along Y
.
1
Move the cursor near the point of intersection of the two graphs and press ENTER.
The screen displays the following:
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