SOLUTION: Is (8, -1) a solution of the system, 2x + 3y = 13 and x

SOLUTION: Is (8, -1) a solution of the system, 2x + 3y = 13 and x - y = 9?

Question 722929: Is (8, -1) a solution of the system, 2x + 3y = 13 and x - y = 9?
Found 2 solutions by jim_thompson5910, DrBeeee:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
2x + 3y = 13

2(8) + 3(-1) = 13 ... plug in (8,1)

16 - 3 = 13

13 = 13

so (8,1) satisfies the first equation

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x - y = 9

8 - (-1) = 9 ... plug in (8,1)

8 + 1 = 9

9 = 9

and (8,1) satisfies the second equation

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(8,1) satisfies BOTH equations at the same time, so it is the solution to the system of equations
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Put (x,y) = (8,-1) into the two equations and check.
Is (2*8+3*(-1) = 13)?
Is (16 - 3 = 13)?
Is (13 = 13)? Yes
Is (8 -(-1) = 9)?
Is (9 = 9)? Yes
Answer: Yes, (8,-1) is the solution (and only solution) to the given system of equations.
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