Without graphing, answer the questions for the following linear system. 3x + 2y

Question

Without graphing, answer the questions for the following linear system. 3x + 2y = 5 21x + 14y = 9 (a) Is the system inconsistent, or are the equations dependent, or neither? (b) Is the graph a pair intersecting lines, a pair of parallel lines, or one line? (c) Does the system have one solution, no solution, or an infinite number of solutions? (a) Is the system inconsistent, or are the equations dependent, or neither? Dependent equations Inconsistent system Neither (b) Describe the graph. one line Intersecting lines Parallel lines (c) Determine the n umber of solutions. One solution Infinite solutions No solution

Explanation / Answer

3x + 2y = 5 ---(1)

21x + 14y = 9

divide by 7 both sides : 3x +2y = 9/21

No solution exists as both equations are same a) Inconsistent

b) Graph is a apair of parallele lines

c) No solution

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