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Chapter 5: Q. 335 (page 678)

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

y=25x+2-2x+5y=10

Short Answer

Expert verified
  • There are infinitely many solutions to the system.
  • The system is dependent.

Step by step solution

01

Step 1. Given Information

The given system isy=25x+2-2x+5y=10.

02

Step2. Simplify

  • Simplify the equation y=25x+2.

y=2x+1055y=2x+10-2x+5y=10

  • As the first equation can be simplified to form the second equation, the equations are dependent.
  • Consequently, there are infinitely many solutions to the system.

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