Solve the system of equations by the addition / elimination method.
y = 5x + 5
5y = 25x
To solve this system of equations using the addition or elimination method, we need to eliminate one variable by adding or subtracting the equations. Let's choose to eliminate the variable "y".
First, let's rewrite the second equation in terms of "y" so that we have both equations in the same form:
5y = 25x
Divide both sides by 5:
y = 5x
Now we have:
y = 5x + 5
y = 5x
Since both equations have "y = 5x", we can set them equal to each other and solve for "x":
5x + 5 = 5x
If we subtract 5x from both sides, we get:
5 = 0
However, this is not a true statement. It means that these two equations are inconsistent and have no common solution. In other words, there is no solution to this system of equations.
Therefore, the system of equations is inconsistent and does not have a unique solution.
y = 5 x + 5
y = 5 x + 0
Those two lines have the same slope, m = 5
They never cross.
There is no solution.