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

Algebra.Com
Question 452212: solve the system by graphing:
y=-x-2
y=2x+13
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949)   (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)   (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)   (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.



Read the graph's intersection point.
RELATED QUESTIONS

solve the system x+y=1 and y=2x+13 by... (answered by jim_thompson5910,ewatrrr)
Solve the system of equations by graphing. Then classify the system. 5u+v=2 y=-x-13... (answered by Fombitz)
Solve the system of equations by graphing x-y=-5 and... (answered by TimothyLamb)
Solve the system of equations by graphing. y= x+2 y=... (answered by checkley71)
Solve the system by graphing Y= -(2/3)x (answered by checkley75)
solve the given system by graphing. x=-5... (answered by EdenWolf)
Solve the system by graphing. (If the system is inconsistent, enter INCONSISTENT. If the... (answered by Fombitz)
solve the system of equations by graphing. then classify the system x+y=13... (answered by rapaljer)
solve the system of equations by graphing. Then Classify the system. x+y=13 x-y=... (answered by drj)