<PRE><B>Question 747082</B>
Solve the system of equations: 3x - y = 9 and 6x + y = 0 

We can solve the above using the Addition Method:

3x - y = 9

6x + y = 0

Add the above two equations together:

3x - y + 6x + y = 9 + 0

Combine like terms:

3x + 6x = 9x

-y + y = 0

9 + 0 = 9

We now have:

9x = 9

x = 1


Substitute x = 1 into the first equation 3x - y = 9

3(1) - y = 9

3 - y = 9

Subtract 3 from each side of the equation.

3 - y - 3 = 9 - 3

Combine like terms:

3 - 3 = 0

9 - 3 = 6

-y = 6

Divide each side by -1

-1y/-1 = 6/-1

y = -6



Plug the x and y values into equation 2 to check:

6x + y = 0

6(1) + (-6) = 0

6 + (-6) = 0




Answer:

x = 1 and

y = -6









Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com </PRE>