The possible real values of m for which the simultaneous equations y = mx + 3 and y = (2m - 1)x + 4 are satisfied for atleast one pair of real numbers (x, y) is

Question

The possible real values of m for which the simultaneous equations y = mx + 3 and y = (2m - 1)x + 4 are satisfied for atleast one pair of real numbers (x, y) is (A) 0 (B) 1 (C) - 2 (D) - 3

Tardigrade Admin · Accepted Answer

The system will always have a solution (x, y) unless the two lines are parallel. i.e. m=2 m-1 ⇒ m=1

Q. The possible real values of m for which the simultaneous equations $y = m x + 3$ and $y = (2 m - 1) x + 4$ are satisfied for atleast one pair of real numbers $(x, y)$ is

0

1

- 2

- 3

The system will always have a solution (x, y) unless the two lines are parallel.
i.e. $m = 2 m - 1 \Rightarrow m = 1$

Q. The possible real values of m for which the simultaneous equations y=mx+3 and y=(2m−1)x+4 are satisfied for atleast one pair of real numbers (x,y) is

0

1

- 2

- 3

The system will always have a solution (x, y) unless the two lines are parallel. i.e. m=2m−1⇒m=1

Q. The possible real values of m for which the simultaneous equations $y = m x + 3$ and $y = (2 m - 1) x + 4$ are satisfied for atleast one pair of real numbers $(x, y)$ is

The system will always have a solution (x, y) unless the two lines are parallel.
i.e. $m = 2 m - 1 \Rightarrow m = 1$