Question

If (3, 4) is a solution of the linear equation 3y = ax + 7, then which of the following is the value of a? ​

• A. $\frac{2}{5}$
• B. $\frac{5}{3}$
• C. $\frac{3}{5}$
• D. $\frac{2}{7}$

Answer 1

The correct option is B $\frac{5}{3}$

Given that,
(3,4) is a solution of linear equation
3y = ax + 7.

We kow that,
Solution of a linear equation satisfies the liner equation.

Now, putting (3,4) in 3y = ax + 7

We get,
$⟹$3(4) = a(3) + 7
$⟹$3a = 12 - 7 = 5
Hence, a = $\frac{5}{3}$