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 x=

1 answer

To find the value of x in the solution, we can use the method of substitution or elimination.

Using substitution:

From the first equation, we can solve for x in terms of y:
x = 6 - 3y

Substituting this into the second equation:
6x - 6y = 4
6(6 - 3y) - 6y = 4
36 - 18y - 6y = 4
-24y = -32
y = -32/-24
y = 4/3

Now, substituting this value of y back into the first equation:
x + 3(4/3) = 6
x + 4 = 6
x = 6 - 4
x = 2

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