Simultaneous linear equation using elimination method., 2x +3y =5 4x-2y=2, solve?

To solve this system of equations using the elimination method, we need to eliminate one of the variables by adding or subtracting the equations.

First, let's multiply the first equation by 2 to make the coefficients of y the same in both equations:

4x + 6y = 10
4x - 2y = 2

Now, subtract the second equation from the first equation:

(4x + 6y) - (4x - 2y) = 10 - 2
4x + 6y - 4x + 2y = 8
8y = 8
y = 1

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:

2x + 3(1) = 5
2x + 3 = 5
2x = 2
x = 1

Therefore, the solution to the simultaneous linear equations is x = 1 and y = 1.