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

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

1. A
$\frac{12}{5}$
2. B
$\frac{12}{7}$
3. C
$\frac{13}{7}$
4. D
$\frac{15}{7}$

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### Solution:

Given the equation is, $2x+3y-9=0.$
As it is given that, $\left(2m,m-1\right)$ is the solution of $2x+3y-9=0.$
Therefore, putting the value of x = 2m and y = m-1 in the given equation, we get
$2\left(2m\right)+3\left(m-1\right)-9=0$

$m=\frac{12}{7}$ Therefore, the value of ${m}{=}\frac{{12}}{{7}}$.
Therefore, option 2) is correct.

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