Solve for the following system of equations. -7x+6y=9 -2x-5y=16 x=? y=?

Answer:Step-by-step explanation: You are given the equation of -7x+6y=9 and -2x-5y=16 and you are asked to find what x=? and what y=?First step is to write down the problem-2x-5y=16next add 5y over the equal sign.-2x=5y+16Next is too divide by -2-2x/-2=5y+16/-2after solving you getx=-2.5y-8now you substitute the equation into the other formula to get-7(-2.5y-8)+6y=9then solve by doing -7*-2.5y and -7*-8 to get 17.5y and 56 which will give you17.5y+56+6y=9Next you subtract 56 to the other side to get 9-56 or -47 now you have17.5y+6y=-47next is too add the 17.5y and 6y together to get 23.5y23.5y=-47next is too divide by 23.5 23.5y/23.5=-47/23.5solve to get y=-2, now this is half you the problemStep two is too substitute what y=-2 into the equation of x=-2.5y-8 to get x=-2.5(-2)-8Solve to get x=5-8Solve again to get x=-3Your answers are x=-3 and y=-2