bx + 8y = c
5x + 8y = 2c
In the system of equations above, for which of the following values of b does the system have no solution, where b and c are constants?
A) 1
B) 3
C) 4
D) 5
Maps to Category 9 of the book.
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Answer posted on 07/11/2021: Correct answer choice is D.
Detailed Solution
Solution without calculation: This question can also be solved without any calculation. See logic below.
In both the equations, the coefficient of b is same. For the system to have no solution, the coefficient of a must also be same in both the equations. Hence, the coefficient of a must be 5 in both the equations.