Question

Determine whether the given ordered pair is a solution to the system of equations. 6x−2y =30 −3x+3y =15 and (10,15)

Answer 1

Explanation

We have the simultaneous equation

$\begin{gathered} 6x-2y=30---equation\text{ 1} \\ -3x+3y=15---equation\text{ 2} \end{gathered}$

To check if (10,15) is a solution, we will have to substitute

x=10 and y=15

into both equations and check if it is true

So for equation 1

$\begin{gathered} 6(10)-2(15)=30 \\ True \end{gathered}$

Next, for the second equation

$\begin{gathered} -3(10)+3(15)=15 \\ True \end{gathered}$

Thus,

We can conclude that (10,15) is a solution