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Chapter 5: Q. 338 (page 678)

In the following exercises, without graphing determine the number of solutions and then classify the system of equations.

y=-34x+16x+8y=8

Short Answer

Expert verified

The system is inconsistent and has no solution.

Step by step solution

01

Step 1. Given Information

The given system isy=-34x+16x+8y=8.

02

Step 2. Equate the ratio of coefficients and constants

  • Write both the given equations in standard form.

3x+4y=16x+8y=8

  • Check if the ratios of the coefficients of xand yare equal.

36=48?12=12

  • Thus the two lines are either parallel or coincident.
  • Now, check if the ratio of the constant term is also equal to the ratio of coefficients.

12鈮�18

  • As the ratios are not equal, the lines are parallel.
  • The system is inconsistent.

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