Solve by elimination method

3x - 6y =4
3x - 6y =5

is the answer x=9

and I think it is inconsistant and not consistant

Christy, I see 2 things wrong:

If you solved these equations,
you would get 0=-1 which is a false
statement. also the slope of each
equation =-A/B=-3/-6=1/2. So the equations have equal slopes and do not
intersect. Therefore,there is no solution.

thank you, yes I was lost.

To solve the given system of equations by the elimination method, we need to eliminate one variable by manipulating the two equations. Let's start solving it step by step:

1. Write down the given system of equations:
3x - 6y = 4 -- Equation 1
3x - 6y = 5 -- Equation 2

2. Notice that the coefficients of both variables (x and y) are the same in both equations. This means that subtracting one equation from the other will eliminate the variables.

3. Subtract Equation 2 from Equation 1:
(3x - 6y) - (3x - 6y) = 4 - 5
0 = -1

The result we obtained, 0 = -1, is not true. This means that the system of equations is inconsistent.

4. In an inconsistent system, there is no solution that satisfies both equations simultaneously. Therefore, there is no value of x and y that can make both equations true simultaneously.

Hence, the system of equations is inconsistent, and there is no specific solution such as x = 9.