Determine whether the given ordered pair is a solution

Question

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

(9,7);-9a=-60

b+6a=4

 

 

Is (9,7) a Solution to the system of equation?

 

Yes or No

Answer 1

If you plug a = 9 into -9a = -60 you get -81 = -60 which is not true so (9,7) is not a solution  

 

If you want to find the solution you would solve the 1st equation for a 

 

a = -60/(-9) = 20/3

 

and then plug this value for a into the 2nd equation and solve for b  

 

b + 6(20/3) = 4

b + 40 = 4

b = -36 

 

So (20/3,-36) is the solution to the system of equations