14. Find the solution of the given system of equations, ) x-2y=6 2x-4y=12

To solve the given system of equations, we can use the method of substitution or elimination. In this case, we can use the elimination method.First, let's multiply the first equation by 2 to make the coefficients of x in both equations equal: Now, we can subtract the second equation from the first equation to eliminate x: This result indicates that the two equations are dependent, meaning they represent the same line. Therefore, there are infinitely many solutions to this system of equations.To express the solution set, we can solve for x in terms of y using the first equation: So, the solution set can be written as: This means that for any real number y, we can find a corresponding value of x that satisfies both equations.