Instructions

Each question is followed by two statements, A and B. Choose the option based on the given statements and questions

Question 159

Find a pair of real numbers x and y that satisfy the following two equations simultaneously. It is known that the values of a, b, c, d, e and f are non-zero. ax + by = c dx + ey = f

A. a = kd and b = ke, c = kf, k is not equal to 0

B. a = b = 1, d = e = 2, f is not equal to 2c

Solution

ax + by = c

dx + ey = f

Using statement A, we can modify the equation ax + by + c to k(dx+ey=f)

=> We cannot find the point (x,y).

Using statement B, we can change the equations to x + y = c and 2x + 2y = f (f not equal to 2c)

As the slopes are equal and the intercepts are not equal, we can say that the equations do not have a solution.

Hence, we can answer the question using statement B but not A.

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