Question

For what value of m ,the point [3,m] lies on the line represented by 2x-3y=5

Answer 1

Step-by-step explanation:

Since, point (3, m) lies on the line represented by equation 2x - 3y = 5

Thus, let us substitute x = 3 and y = m in the given equation of line, we find:

$2 \times 3 - 3 \times m = 5 \\ \implies \: 6 - 3m = 5 \\ \implies \: 6 - 5 = 3m \\ \implies \: 1 = 3m \\ \implies \: \huge \fbox{m = \frac{1}{3} }$