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

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

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 = 4 This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's see if and satisfy the first equation.

Start with the first equation.

Plug in and .

Subtrac

Since the equation is true, this means that and satisfy the first equation.

--------------------------------------------------------

Let's see if and satisfy the second equation.

Start with the second equation.

Plug in and .

Rewrite as

Add

Since the equation is true, this means that and 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).
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