Question

If $x=-k$ and $y=\frac{5}{2}$ is a solution of $x+4y-7=0$, find the value of $k$.

Answer 1

Finding the value of k:

Substituting the given solution in the equation we will get the value of $k$.

Since $x=-k$ and $y=\frac{5}{2}$ is a solution of $x+4y-7=0$,

By putting the values of $x$ and $y$ in the given equation, we get;
∴ $-k+4\left(\frac{5}{2}\right)-7=0$
$\Rightarrow -k+10-7=0$

$\Rightarrow -k+3=0$.

$\Rightarrow k=3$
Hence, the value of $k$ is $3$.