If the point (3,4) lies on the graph of the equation 3y=ax+7, find the value of a.
Solution:
Given line is 3y=ax+7 Since, the point (3,4) lies on the line 3y=ax+7. i.e., x=3 and y=4 satisfies the equation. ⇒3y=ax+7 ⇒3×4=a×3+7 ⇒12=3a+7 ⇒3a=12−7 ⇒3a=5 ⇒a=5/3 Therefore, the value of a is 5/3.