SOLUTION: I have one more question. How would you do this in steps? Graph y-5x=-4 and 5x=5+y to find the solution? Just the two equations I need to know how to break it down? Such as what wo

Question 448427: I have one more question. How would you do this in steps? Graph y-5x=-4 and 5x=5+y to find the solution? Just the two equations I need to know how to break it down? Such as what would you do to the numbers? Would you subtract anything? I'll really appreciate it. :) God Bless You!!!
-Thank You. :)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Graph y - 5x =-4 and 5x = 5 + y to find the solution?
:
Put both equations into the slope intercept form (y = mx + b)
y - 5x = -4
add 5x to both sides;
y = 5x - 4
and
5x = 5 + y
subtract 5x from both sides
0 = -5x + y + 5
subtract y from both sides
-y = -5x + 5
y has to be positive, multiply both sides by -1
y = 5x - 5
:
Both these equations have the same slope m=5, therefore the lines are parallel
there is no solution
:
Prove this to yourself by plotting each equation on the same grid.
:
Plot these for x = -1 and x = +2
1st equation
y = 5(-1) -4
y = -9
:
y = 5(2) -4
y = 6
:
Plot the two ordered pairs -1.-9 and +2, +6 (red graph)

Plot the 2nd equation for x =-1, x=+2 the same way
y = 5x - 5
you should get ordered pairs of -1, -10 and +2, +5 (green graph)
Plot this on the same system

:
You can see that these lines are parallel, never intersect, so no solution for this system of equations

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