In Example 8, by changing what one number in the first equation does the system become (a)
Question:
In Example 8, by changing what one number in the first equation does the system become
(a) Inconsistent?
(b) Consistent?
Data from Example 8
Solve the system of equations x − 3y = 9 −2x + 6y = −18.
We find that the intercepts and a third point for the first line are (9, 0), (0, −3), and (3, −2). For the second line, we then find that the intercepts are the same as for the first line. We also find that the check point (3, −2) also satisfies the equation of the second line. This means that the two lines are really the same line. Another check is to write each equation in slope-intercept form. This gives us the equation y = 1/3x − 3 for each line. See Fig. 5.21.
Step by Step Answer:
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans