Solve each system. Then check each solution and Identify any extraneous solutions. Show your work for partial credit. 1. y=(2x-5)^(1)/(2) 2x+y=7 4x^2+4x(2x-5)^(1)/(2)+(2x-5)^4+9

To solve the system of equations, we need to find the values of x and y that satisfy both equations.Given: Step 1: Substitute the expression for y into the second equation. Step 2: Square both sides of the equation to eliminate the square root. Step 3: Simplify the equation. Step 4: Solve for x.This equation is quite complex to solve directly. We can use numerical methods or graphing to approximate the solution.Using a graphing calculator or software, we find that the approximate solution is: Step 5: Substitute the value of x back into the first equation to find y. Therefore, the solution to the system of equations is: To check the solution, substitute the values of x and y back into the original equations: Substituting and : The solution is correct.The given expression does not seem to be related to the system of equations. It appears to be an independent expression.