Using the linear combination method what is the solution to the system of linear equations 7x - 2y = - 20 and 9x + 4y = - 6

x should equal - 2 and y should equal - 3 to solve this i multiplied the first equation by 2 then got rid of the 4y and - 4y then i added the 14x to the 9 equaling 23x and added the - 40 to the - 6 which became 23x=-46 i solved this getting - s for x, then i plugged that into the equations to get y which was - 3