3x-y=-2 3x-y=4 Please help me solve

No solution

thank you

To solve this system of equations, we can use the method of elimination. The goal is to eliminate one variable and solve for the other.

Step 1: Arrange the equations in standard form (Ax + By = C) if they are not already:
Equation 1: 3x - y = -2
Equation 2: 3x - y = 4

Step 2: Choose a variable to eliminate. In this case, the "y" variable already has the same coefficient in both equations, so let's eliminate the y-variable.

Step 3: Add the two equations together to eliminate the y-variable:
(3x - y) + (3x - y) = -2 + 4
6x - 2y = 2

Step 4: Simplify the equation:
6x - 2y = 2
Divide the entire equation by 2 to further simplify:
3x - y = 1

Now we have a new equation: 3x - y = 1

Step 5: Solve for the remaining variable. In this case, we'll solve for x using the new equation we obtained in Step 4.

3x - y = 1
3x = y + 1
Divide both sides of the equation by 3:
x = (y + 1) / 3

So we have found the value of x in terms of y.

Step 6: Substitute the expression for x back into one of the original equations to solve for y. We can choose either equation, but let's use the first equation.

3x - y = -2
3((y + 1) / 3) - y = -2
Simplify the equation:
y + 1 - y = -2
Combine like terms:
1 = -2

Since 1 does not equal -2, this means there is no solution to the system of equations.

Therefore, the system of equations is inconsistent and has no solution.