For the following system of equations, what is the value of x in the solution?(1 point) The system of equation is x+3y = 6 and 6x-6y = 4

Answer 1

To find the value of x in the solution, we need to solve the system of equations.

First, let's solve the first equation, x + 3y = 6, for x.
x = 6 - 3y

Now, substitute this expression for x into the second equation, 6x - 6y = 4.
6(6 - 3y) - 6y = 4
36 - 18y - 6y = 4
36 - 24y = 4
-24y = 4 - 36
-24y = -32
y = (-32) / (-24)
y = 4/3

Now that we have the value of y, we can substitute it back into the first equation to find the value of x.
x + 3(4/3) = 6
x + 4 = 6
x = 6 - 4
x = 2

So, the value of x in the solution is 2.