SOLUTION: solve the system by graphing: y=-x-2 y=2x+13

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Question 452212: solve the system by graphing:
y=-x-2
y=2x+13

Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
equation1
when x= 0, y= -2(0,-2 )
when y =0, x= -2(-2,0 )
Equation 2
when x= 0, y= 13(0,13 )
when y =0, x= -6.5(-6.5,0)
(-5,3)

Answer by ikleyn(53746) About Me  (Show Source):
You can put this solution on YOUR website!
Graphs/452212: solve the system by graphing:
y=-x-2
y=2x+13
~~~~~~~~~~~~~~~~~~~~~~~~~~


        My vision is that the instruction "solve the system by graphing" looks slightly idiotic
        as considered to this problem. So, I will solve it in a normal way, i.e. algebraically.

        Notice that the post b @mananth does not contain any solution.


Left sides of equations are identical - so, their right side equal

    -x - 2 = 2x + 13.


Simply and find x

    -x - 2x = 13 + 2,

      -3x   = 15,

        x   = 15/(-3) = -5.


Hence,  y = -x - 2 = -(-5) - 2 = 5 - 2 = 3.


ANSWER.  The solution is  x = -5, y = 3.


You may substitute these values into equations to assure that they are the correct solutions, 
i.e. do satisfy equations.

Solved algebraically, i.e. in a normal way.



Answer by josgarithmetic(39792) About Me  (Show Source):
You can put this solution on YOUR website!
Identify and use slope and y-intercept of each line and use them to graph the lines.

graph%28400%2C400%2C-12%2C3%2C-3%2C12%2C-x-2%2C2x%2B13%29

Read the graph's intersection point.