Question

What is the value of $k$ if $(k,5)$ is the solution of the simultaneous equations $4x+3y=19$ and $4x-3y=-11$?

• A. $4$
• B. $-1/3$
• C. $5$
• D. $1$

Answer 1

The correct option is D $1$

Since, $(k,5)$ is the solution of simultaneous equation.

Therefore, it should satisfy the given equations.

$4\left(k\right)+3\left(5\right)=19$

$4k=4$

$k=1$

Also,

$4k-3\left(5\right)=-11$

$4k=4$

$k=1$

Therefore, the value of $k=1$

Hence, this is the answer.