what is the value for x in the following linear system of equations?

2x + 3y = 6
y =0

a) 3
b) 0
c) infinite number of solutions
d) 0

If y = 0, then 2x + 3y = 6 becomes 2x = 6. Solve for x.

To find the value of x in the given linear system of equations, we will substitute the value of y into the first equation and solve for x.

Given:
2x + 3y = 6 ...(Equation 1)
y = 0 ...(Equation 2)

Substituting y = 0 into Equation 1:
2x + 3(0) = 6
2x + 0 = 6
2x = 6
x = 6/2
x = 3

Therefore, the value of x in the given linear system of equations is 3.

Hence, the correct answer is option a) 3.