SOLUTION: I really have been confused for a while on this question and can't seem to figure it out. Find the solution of the system of equations by graphing. -5x + y = -5 -4x+ 2y = 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I really have been confused for a while on this question and can't seem to figure it out. Find the solution of the system of equations by graphing. -5x + y = -5 -4x+ 2y = 2       Log On


   



Question 198080: I really have been confused for a while on this question and can't seem to figure it out.
Find the solution of the system of equations by graphing.
-5x + y = -5
-4x+ 2y = 2
I tried to graph it and I got the point (2,6). I don't know if I did it right or wrong but I need help thank you.

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the solution of the system of equations by graphing.
-5x + y = -5
-4x+ 2y = 2
----------------------
Put both in the slope-intercept form:
y = 5x -5
Plot two points:
Let x=0, then y = -5 giving point (0,-5)
Let x = 1, then y = 0 giving point (1,0)
Draw a line thru the two lines.
---------------------------------------------
y = 2x + 1
Let x = 0, then y = 1 giving point (0,1)
Let x = 1, then y = 3 giving point (1,3)
Plot those two points and draw a line thru them.
---------------------
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C5x-5%2C2x%2B1%29
Intersection at (2,5)
===============================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:


system%28-5x%2By=-5%2C-4x%2B2y=2%29


In order to graph these equations, we must solve for y first.


Let's graph the first equation:


-5x%2By=-5 Start with the first equation.


y=-5%2B5x Add 5x to both sides.


y=5x-5 Rearrange the terms and simplify.


Now let's graph the equation:


Graph of y=5x-5.


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


Now let's graph the second equation:


-4x%2B2y=2 Start with the second equation.


2y=2%2B4x Add 4x to both sides.


y=%282%2B4x%29%2F%282%29 Divide both sides by 2 to isolate y.


y=2x%2B1 Rearrange the terms and simplify.


Now let's graph the equation:


Graph of y=2x%2B1.


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


Now let's graph the two equations together:


Graph of y=5x-5 (red). Graph of y=2x%2B1 (green)


From the graph, we can see that the two lines intersect at the point . So the solution to the system of equations is . This tells us that the system of equations is consistent and independent.