SOLUTION: can someone help me with this problem: Determine whether the given ordered set of numbers is a solution of the system of equations. yes or no. (1, -3) x + y = -2 x - y = 4

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: can someone help me with this problem: Determine whether the given ordered set of numbers is a solution of the system of equations. yes or no. (1, -3) x + y = -2 x - y = 4      Log On

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Question 164579This question is from textbook
: can someone help me with this problem:
Determine whether the given ordered set of numbers is a solution of the system of equations. yes or no.
(1, -3)
x + y = -2
x - y = 4This question is from textbook

Answer by jim_thompson5910(28717) About Me  (Show Source):
You can put this solution on YOUR website!
Let's see if x=1 and y=-3 satisfy the first equation.


x%2By=-2 Start with the first equation.


1-3=-2 Plug in x=1 and y=-3.


-2=-2 Subtrac


Since the equation is true, this means that x=1 and y=-3 satisfy the first equation.


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Let's see if x=1 and y=-3 satisfy the second equation.


x-y=4 Start with the second equation.


%281%29-%28-3%29=4 Plug in x=1 and y=-3.


1%2B3=4 Rewrite %281%29-%28-3%29 as 1%2B3


4=4 Add


Since the equation is true, this means that x=1 and y=-3 satisfy the second equation.


Since ALL of the equations of the system are satisfied (ie they are true for the given values) , this means that (1,-3) is a solution to the given system.



Note: a longer alternative is to solve the system (using any method) and find the true solution, which you'll find is (1,-3).