SOLUTION: Use the system to answer the question. x+5y=-3 2x+7y=3 Which is the solution to the system? (Points : 4) (13, 2)

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Use the system to answer the question. x+5y=-3 2x+7y=3 Which is the solution to the system? (Points : 4) (13, 2)       Log On


   



Question 920545: Use the system to answer the question. x+5y=-3
2x+7y=3


Which is the solution to the system?
(Points : 4)
(13, 2)
(2, 1)
(12, 3)
(22, 5)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Use the system to answer the question.
x%2B5y=-3......eq.1
2x%2B7y=3+.....eq.2
_______________

plug in (x, y)= (13, 2)

13%2B5%2A2=-3......eq.1
2%2A13%2B7%2A2=3+.....eq.2
_______________
13%2B10=-3......eq.1
26%2B14=3+.....eq.2
_______________
23%3C%3E-3......eq.1
40%3C%3E3+.....eq.2
_______________ since we got not+equal in both equations, point (13, 2) is not the solution to the system





x%2B5y=-3......eq.1
2x%2B7y=3+.....eq.2
__________________________

plug in (x, y)= (2, 1)
2%2B5%2A1=-3......eq.1
2%2A2%2B7%2A1=3+.....eq.2
_______________
2%2B5=-3......eq.1
4%2B7=3+.....eq.2
_______________
7%3C%3E-3......eq.1
11%3C%3E3+.....eq.2
_______________ since we got not+equal in both equations, point (2, 1) is not the solution to the system



x%2B5y=-3......eq.1
2x%2B7y=3+.....eq.2
__________________________

plug in (x, y)= (12, 3)

12%2B5%2A3=-3......eq.1
2%2A12%2B7%2A3=3+.....eq.2
__________________________

12%2B15=-3......eq.1
24%2B21=3+.....eq.2
__________________________
27%3C%3E-3......eq.1
45%3C%3E3+.....eq.2
__________________________since we got not+equal in both equations, point (12, 3) is not the solution to the system



x%2B5y=-3......eq.1
2x%2B7y=3+.....eq.2
__________________________

plug in (x, y)= (22, 5)

22%2B5%2A5=-3......eq.1
2%2A22%2B7%2A5=3+.....eq.2
__________________________

22%2B25=-3......eq.1
44%2B35=3+.....eq.2
__________________________
47%3C%3E-3......eq.1
79%3C%3E3+.....eq.2
__________________________since we got not+equal in both equations, point (22, 5) is not the solution to the system