How do I solve this with the elimination method?
5x-10y=4
5x-10y=5
I need x=, and y= to get an ordered pair, but every time I mult. by a neg, everything goes away instead of just one variable! please help!
You are doing nothing wrong.
You are faced with two equations that have no solution.
Graphically, you would have two parallel lines, notice the slopes are the same.
Solving two equations is the same as finding the intersection of their corresponding graphs.
Parallel lines do not intersect by definition.
So just say, "no solution"
solve by the elimination:7r-2s=5: 2r+7s=9 what is the solution of the systems use integers or fraction
To solve the system of equations using the elimination method, you need to eliminate one variable by adding or subtracting the equations. However, in this case, you might notice that multiplying the equations by a negative number will cause the entire equation to cancel out, resulting in no solution.
Let's take a closer look at your system of equations:
Equation 1: 5x - 10y = 4
Equation 2: 5x - 10y = 5
As you can see, the coefficients of x and y are the same in both equations. This means that subtracting one equation from the other won't eliminate any variables. In fact, it will result in a "0 = 1" statement, which is not true.
In this scenario, we can conclude that the given system of equations is inconsistent or contradictory. This means that there is no solution that satisfies both equations simultaneously. Geometrically, the two equations represent parallel lines that will never intersect.
Therefore, there is no ordered pair (x, y) that solves this system of equations.