Determine the type of system of linear equation if Dependent Equation, Inconsistent Equation or Consistent Equation

a. 2x+ y=6 and 4x+ 2y=12 b. 4x+ 2y= 16 and 2x+y= 11 C. 2x+ y=16 and x+2y= 11
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1 Answer

a) Many solutions because one equation is a multiple of the other. Dependent.

b) Inconsistent: 2x+y cannot be equal to both 8 and 11.

c) Consistent solution:

y=16-2x, x+32-4x=11, 21=3x, x=7, y=2.

by Top Rated User (1.2m points)

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