SOLUTION: 3x-2y=11 -x+6y=7 (5,2)

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Question 195096This question is from textbook algebra 1 concepts and skills
: 3x-2y=11
-x+6y=7
(5,2) This question is from textbook algebra 1 concepts and skills

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's see if x=5 and y=2 are solutions to the first equation.


3x-2y=11 Start with the first equation.


3%2A%285%29-2%2A%282%29=11 Plug in x=5 and y=2.


15-4=11 Multiply


11=11 Combine like terms.


Since the equation is true, this means that (5,2) is a solution to the first equation.


Let's see if (5,2) is a solution to the second equation.


-x%2B6y=7 Start with the second equation.


-%285%29%2B6%2A%282%29=7 Plug in x=5 and y=2.


-5%2B12=7 Multiply


7=7 Combine like terms.


Since the equation is true, this means that (5,2) is also a solution to the second equation.


Since all of the equations of the system are true, this means that (5,2) is a solution to the given system.