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91Ó°ÊÓ

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

3x+2y=6y=-3x+4

Short Answer

Expert verified

The system is consistent with unique solution.

Step by step solution

01

Step 1. Given Information

The given system is3x+2y=6y=-3x+4.

02

Step 2. Equate the ratio of coefficients

  • Write both the given equations in standard form.

3x+2y=63x+y=4

  • Find the ratios of coefficients of xandy.

localid="1648201674884" 33=121=2

  • As the ratios are not equal, the equations are not dependent and the system will have 1 unique solution.

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