Final answer:
By substitifying the point (3,4) into the equation 2x+ay=14 and simplifying, we find that the value of 'a' is 2.
Step-by-step explanation:
The question provides you with the details that the point (3,4) lies on the graph of the equation 2x+ay = 14. To find the value of 'a', you can substitute the values of the point into the equation. This point represents an x-value of 3 and a y-value of 4.
Let's plug in these values: 2(3) + a(4) =14. This simplifies to 6 + 4a =14. Further simplifying, we can subtract 6 from both sides of the equation to isolate the term with 'a'. This leaves us with 4a = 8. Finally we divide both sides of the equation by 4 to solve for 'a', giving us: a = 2.
Thus, the value of 'a' is 2. So, the correct option is (A) 2.
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