Each question is followed by two statements, A and B. Choose the option based on the given statements and questions
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
ax + by = c
dx + ey = f
Using statement A, we can modify the equation ax + by + c to k(dx+ey=f)Â
=> 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.
Create a FREE account and get: