Please help right now!!!!! Solve the system of equations below. x + y = 7 2x + 3y = 16
Accepted Solution
A:
Answer:[tex]x=5[/tex] and [tex]y=2[/tex].Step-by-step explanation:We have been given a system of equations. We are asked to solve our given system.[tex]x+y=7...(1)[/tex][tex]2x+3y=16...(2)[/tex]From equation (1), we will get:[tex]x=7-y[/tex]Upon substituting this value in equation (2), we will get:[tex]2(7-y)+3y=16[/tex][tex]14-2y+3y=16[/tex][tex]14+y=16[/tex][tex]14-14+y=16-14[/tex][tex]y=2[/tex]Now, we will substitute [tex]y=2[/tex] in equation (1).[tex]x+2=7[/tex][tex]x+2-2=7-2[/tex][tex]x=5[/tex]Therefore, the point [tex](5,2)[/tex] is solution for our given equation.