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:
[tex]3x-y=5\\3(2)-1=5\\6-1=5\\5=5[/tex]
- Ordered pair satisfies first equation
Let's try the second equation
[tex]5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8[/tex]
- Ordered pair satisfies second equation
Thus ordered pair satisfies the following system of equations
Answer: Yes
Hope that helps!
