Solve this simultaneous linear equation using the substitution method, 4x+y=6 X+2y=2?

First, solve one of the equations for one variable in terms of the other. Let's solve the second equation for x:

x = 2 - 2y

Now substitute this expression for x into the first equation:

4(2 - 2y) + y = 6
8 - 8y + y = 6
-7y = -2
y = 2/7

Now substitute this value of y back into the equation x = 2 - 2y:

x = 2 - 2(2/7)
x = 2 - 4/7
x = 10/7

Therefore, the solution to the simultaneous linear equations is x = 10/7 and y = 2/7.