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 -1:
x + 2y = 4 ----> -x - 2y = -4
Now we will add the second equation to the modified first equation:
-x - 2y = -4
(x + 3y = 10)
0x + 1y = 6
Now we can solve for y:
y = 6
Now that we know y = 6, we can substitute this back into one of the original equations, for example the first one:
x + 2y = 4
x + 2(6) = 4
x = -8
So the solution to the system of equations is x = -8 and y = 6
Therefore, the solution is (-8,6)
Explanation: