Question

Does the ordered pair (2,1) satisfy the following system of equations?

Answer 1

To determine the whether the ordered pair satisfies the equation:

     ⇒ we must plug in the values

          ⇒ since coordinates are (x,y) ⇒ (2,1)

             ⇒ there we must plug 2 into the 'x' position in the equation

                ⇒ and 1 into the 'y' position in the equation

Let's try the first equation:

   $3x-y=5\\3(2)-1=5\\6-1=5\\5=5$

• Ordered pair satisfies first equation

Let's try the second equation

   $5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8$

• Ordered pair satisfies second equation

Thus ordered pair satisfies the following system of equations

Answer: Yes

Hope that helps!