3x – 2y = 7
9x – 6y = 3

What is the solution to the system?

Question

3x – 2y = 7 
9x – 6y = 3 

What is the solution to the system?

anonymous · Answer

are you familiar with the elimination method ?

anonymous · Answer

the elimination method is when you eliminate a variable, either x or y, to solve for the other variable. To do this, there are times when you have to multiply an equation by a certain number so that the variable you are trying to eliminate, cancels out.
So, which variable do you want to eliminate ? You pick.

anonymous · Answer

x

anonymous · Answer

now we will multiply the first equation by a -3.
-3(3x - 2y = 7)
this gets us : -9x + 6y = -21
are you with me so far ?

anonymous · Answer

so we have :
-9x + 6y = -21
9x - 6y = 3
---------------add
0 + 0 = -18
0 = -18

since the end result does not equal, this means there is NO SOLUTION.