Question

If $(3,1)$ is a solution of the equation $6x+by=25,$ then what is the value of $b$?

• A. $\frac{19}{3}$
• B. $7$
• C. $6$
• D. $8$

Answer 1

The correct option is B

$7$

The solution to a linear equation in two variables is a set of values of $x$ and $y$ that satisfies the equation.

Substituting $x=3$ and $y=1$ in the equation $6x+by=25,$ we get
$6\left(3\right)+b\left(1\right)=25$
$\Rightarrow$ $18+b=25$
$\Rightarrow b=7$
Thus, the value of $b$ equals 7.