7x-3y=4 2x-4y=1 The solution to the system of equations is __ (3/22,-7/22) (13/22,1/22) (13/34,-15/34)

To solve the system of equations, we can use the method of substitution or elimination. Let's use the elimination method.First, we can multiply the second equation by 2 to make the coefficients of x in both equations equal: Now we have the system of equations: Next, we can multiply the first equation by 4 and the second equation by 7 to make the coefficients of x in both equations equal: Now we can subtract the second equation from the first equation to eliminate x: Simplifying, we get: Dividing both sides by 44, we get: Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation: Substituting , we get: Simplifying, we get: Adding to both sides, we get: Combining the terms on the right side, we get: Dividing both sides by 7, we get: Therefore, the solution to the system of equations is .So the correct answer is .