SOLUTION: please write the answer and show how you did it.. thnx 1.. classify the system.. x-5=-y with out graphing 2y-10=-2x solve each system.. 2. y=2

Algebra ->  College  -> Linear Algebra -> SOLUTION: please write the answer and show how you did it.. thnx 1.. classify the system.. x-5=-y with out graphing 2y-10=-2x solve each system.. 2. y=2      Log On


   

Question 173029: please write the answer and show how you did it.. thnx
1.. classify the system.. x-5=-y with out graphing
2y-10=-2x

solve each system..
2. y=2x+8
y=3x-1

3. 2x-y=2
2x-2y=4

4. -x+y=2
2x+y=-1
Answer by nycsub_teacher(90) About Me  (Show Source):
You can put this solution on YOUR website!
solve each system..
2. y=2x+8
y=3x-1

I will only do this one and you must do the rest.
We have two equations where y is written in terms of x.
Equate both equations to find x.
2x + 8 = 3x - 1
2x - 3x = -8 - 1
-x = -9
x = -9/-1
x = 9/1
x = 9
Now that we know x = 9, plug that value for x into EITHER of the original equations given to find y.
I will use y = 2x + 8 but you can use the other equation as well.
y = 2(9) + 8
y = 18 + 8
y = 26
The solution for this system of equations in two variables is the point
(9, 26). BOTH equations meet at the point (9, 26) and so this is why that point is the solution.
You can also write the answer as x = 9 and y = 26