PLEASE HELP :(Given the system of linear equations. Choose all of the options that could be used to solve the system using addition(x + y = 712x + y = 5Multiply the first equation by-1 and add the equations together.Multiply the second equation by -1 and the first equation by -1, then add the equations together.Multiply the second equation by -1 and add the equations together.Multiply the first equation by -2 and add the equations together.Multiply the first equation by 2 and the second equation by -1, then add the equations together.

Answer: First option: Multiply the first equation by-1 and add the equations together. Third option: Multiply the second equation by -1 and add the equations together.Step-by-step explanation: The method to solve a system of equations using addition is known as Elimination Method. The idea is to get an equation with one variable, solve for that variable to find its value and the substitute this into any original equation to find the value of the other variable. In this case, multiplying the first equation by -1, you get: [tex]\left \{ {{-x -y =-7} \atop {12x + y = 5}} \right.\\.................\\11x=-2\\\\x=-5.5[/tex] [tex]x + y = 7\\\\-5.5+y=7\\\\y=12.5[/tex] Multiplying the second equation by -1, you get: [tex]\left \{ {{x + y = 7} \atop {-12x - y = -5}} \right.\\.................\\-11x=2\\\\x=-5.5[/tex] [tex]x + y = 7\\\\-5.5+y=7\\\\y=12.5[/tex]