Quiz: Module 02 Quiz (4.1 - 4.2) Time Remaining: 01:02:47 Submit Quiz This Quest

Question

Quiz: Module 02 Quiz (4.1 - 4.2) Time Remaining: 01:02:47 Submit Quiz This Question: 1 pt 7 of 10 (2 complete) This Quiz: 10 pts possible A linear system where m, b, n, and c are nonzero constants is shown below y -mx+ b Discuss the relationships among the four constants if the system has an infinite number of solutions A. For this to be true, m-nand b#c. OB. For this to be true, m#nand b-c. OC. For this to be true, m#n and b#c O D. For this to be true, mn and b c Click to select your answer. R ?? 10:34 2018-06-10

Explanation / Answer

If y = mx+b and y = nx+c, then for this to be true, we must have mx+b = nx+c. Now, since x is a variable, and hence arbitrary, therefore, the coefficients of x on the 2 sides must be equal, i.e. m = n and also, the constant terms should be equal or, b = c.

Option D is the correct answer.

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