Using the problem below, solve and explain how you got the solution to the system of equation.
-x-2y=1
x+y=2

(5, -3)

y= -3

x= 5

Step-by-step explanation:

-x-2y=1

x+y=2

solve the equation

-x-2y=1

x=2-y

substitute the value of x into an equation

-(2-y)-2y=1

remove parenthesis

-2-y-2y=1

subtract y to 2y

-2-y=1

add 2 from both sides

-y=3

divide both sides by -y

y= -3

substitute the value of y into an equation

x=2-(-3)

remove parenthesis

x=2+3

add 2 to 3

x=5

(5,-3)

AAS Theorem

Step-by-step explanation:

In the given figure , we have

By CPCTC [Congruent parts of congruent triangles are congruent], we have

                 (1)

             (2)

Now in , we have

                     (From 1)

                  (From 2)

                    (Vertical angles)  

Therefore by AAS theorem of congruence , we have