Determine whether the given ordered pair is a solution of the system of equations.

Question

Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetically ordered variables.

 

(4,1);  2x-5y=3

          6x-7y=17

 

 

Is the given ordered pair a solution of the system.

 

__ Yes

__ No

Answer 1

Yes

(4,1) = (x,y) x = 4, y=1

plug the x and y values into each equation

2x-5y = 3

2(4)-5(1) = 8-5 = 3

6x-7y = 17

6(4)-7(1) = 24-7 = 17

if it satisfies both equations, (4,1) is a solution to the system of equations