If (2m,m-1) is a solution of 2x+3y-9=0. Find m. - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

Given the equation is,

2 x + 3 y - 9 = 0 .

As it is given that,

(2 m, m - 1)

is the solution of

2 x + 3 y - 9 = 0 .

Therefore, putting the value of x = 2m and y = m-1 in the given equation, we get

2 x + 3 y - 9 = 0

2 (2 m) + 3 (m - 1) - 9 = 0

7 m - 12 = 0

m = \frac{12}{7}

Therefore, the value of

m = \frac{12}{7}

.
Therefore, option 2) is correct.

If $(2 m, m - 1)$ is a solution of $2 x + 3 y - 9 = 0$ . Find $m .$