anonymous
  • anonymous
Determine and select the value of c that makes 3x - 5y = 9 and -0.6x + y = c be a system of equations with infinitely many solutions. a. 0.6 b. -9 c. 9 d. equation e. -1.8
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
The only way a system of 2 variable linear equations can have infinitely many solutions is if the x and y coefficients are related and the the constants the right side of the equal sign are related in the same way. Multiply the second equation by -5 -> 3x - 5y = -5c. -5c must equal 9 for there to be infinitely many solutions, so -5c = 9 -> c = -9/5

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