SOLUTION: solve the following system of equations by graphing -3x-y = 7 2x + 3y = -7 Please explain step by step so that I can learn Thank you

Algebra ->  Graphs -> SOLUTION: solve the following system of equations by graphing -3x-y = 7 2x + 3y = -7 Please explain step by step so that I can learn Thank you      Log On


   

Question 853380: solve the following system of equations by graphing
-3x-y = 7
2x + 3y = -7
Please explain step by step so that I can learn
Thank you
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the solution will be where the two lines intersect
the standard form for a line is y = mx + b where m is slope and b is y intercept
put both equations in standard form
we begin with
-3x-y = 7
2x + 3y = -7
1) -y = 3x +7
y = -3x -7
2) 3y = -2x -7
y = -2x/3 -7/3
now our two equations are
y = -3x -7
y = -2x/3 -7/3
graph of the equations is
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-3x+-7%2C+-2x%2F3+-7%2F3%29+
the two lines intersect at point (-2, -1)