What is the value of x in the solution to the following system of equations?
x - 2y = 2
3x + y = 6

Solution:

We will use the elimination method to solve the system of linear equations.

Let x - 2y = 2 --- equation(1)

3x + y = 6 --- equation(2)

Step 1: Multiply equation (1) by 3.

3x - 6y = 6 --- equation(3)

Step 2: Subtract equation(2) from equation(3).

(3x + y = 6) - (3x - 6y = 6)

7y = 0

y = 0

Step 2: Substitute the value of y in equation (1), we get

x - 2y = 2

x - 2(0) = 2

x = 2

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What is the value of x in the solution to the following system of equations?
x - 2y = 2
3x + y = 6

Summary:

The value of x and y in the solution to the following system of equations x - 2y = 2; 3x + y = 6 is 2 and 0 respectively.