Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.

Answer:x = 5.7 and y = 3.8Step-by-step explanation:We have given a system of equation.5x+2y = 21                                    eq(1)-2x+6y = -34                                 eq(2)We have to find the solution of the given system.Multiplying eq(1) by 3 , we have15x+6y = 63Subtracting above equation from eq(2), we have15x+6y - (-2x+6y) = 63-(-34)15x+6y+2x-6y = 63+3417x+0 = 9717x = 97x = 97/17x = 5.706≅5.7Putting the value of x in eq(1) , we have5(5.706)+2y = 212y = 21-28.532y = 7.53y = 7.53/2y = 3.765We have to round it to the nearest tenthy = 3.8 Hence, the solution of given system is x = 5.7 and y = 3.8