Answer: The elimination method is a method for solving a system of equations by eliminating one of the variables. One way to do this is to multiply one equation by a constant and then add or subtract it from the other equation to cancel out one of the variables.
We will start by multiplying the first equation by 3:
2x + 6y = 2 ----> 6x + 18y = 6
Now we will subtract the second equation from the modified first equation:
6x + 18y = 6
(2x + 2y = 2)
4x + 16y = 4
Now we can solve for one of the variables, we will solve for x:
4x = 4
x = 1
Now that we know x = 1, we can substitute this back into one of the original equations, for example the first one:
2x + 6y = 2
2(1) + 6y = 2
6y = 0
y = 0
So the solution to the system of equations is x = 1 and y = 0
Therefore, the solution is (1,0)
Explanation: