Question

Does the ordered pair given, satisfy the following system of equations

Answer 1

If the given ordered pair satifies the system of equation, then, if you replace the x and y values of the pair the right side of the equation will match with the left side:

In this case, you have:

x = 2/3

y = -5/6

`\begin{gathered} -8((2)/(3))-10(-(5)/(6))= \\ -(16)/(3)+(50)/(6)= \\ -(16)/(3)\cdot(2)/(2)+(50)/(6)= \\ -(32)/(6)+(50)/(6)= \\ (-32+50)/(6)=(18)/(6)=3 \end{gathered}`

the given point is solution of the first equation.

And now, for the second equation:

`\begin{gathered} 6((2)/(3))-6(-(5)/(6))= \\ (12)/(3)+(30)/(6)= \\ 4+5=9 \end{gathered}`

the given point is also solution of the second equation.

Due to the given pair is solution of both equations, the pair satisfies the system.

YES