okay i am comepletely stuck on this math prob....:

x + 5y - 10 = 0
x = 2y - 8

i know the answer is
-20/7 , 18/7
but i have no idea how they got it so
someone
PLZ HELP!!!!

The second equation is telling you what x is..since it says " x=2y-8" this tells you that wherever you see an x you can replace it with that equation, so you would get:

(2y-8)+5y-10=0
so then you would just solve for y to get 18/7. So now you know what y is you can put that answer in either equation and solve for x. for example:
x=2(18/7)-8
so x=-20/7

THKS SOOOOOO MUCH!

I get it now
again thank you so much!

To solve these two equations, we can use a method called substitution. Here's how you can do it:

Step 1: Start with the first equation and solve for x in terms of y.
x + 5y - 10 = 0 ---> x = 10 - 5y

Step 2: Substitute this expression for x in the second equation.
10 - 5y = 2y - 8

Step 3: Solve for y.
-5y - 2y = -8 - 10
-7y = -18
y = (-18) / (-7)
y = 18/7 or approximately 2.57

Step 4: Substitute the value of y back into either of the original equations to solve for x.
x = 2(18/7) - 8
x = 36/7 - 8
x = 36/7 - 56/7
x = (-20)/7 or approximately -2.86

So, the solution to the system of equations is x = -20/7 and y = 18/7.