find the solution of this system of equations -6y=-50-4x 5x-6y=-49

Answer:[tex](1,\ 9)[/tex]Step-by-step explanation:Rewrite the first equation[tex]-6y=-50-4x\\\\4x-6y=-50[/tex]Now we have the following system of equations[tex]4x-6y=-50\\5x-6y=-49[/tex]To solve the system of equations multiply the first equation by -1 and add it to the second equation[tex]-1*4x-(-1)*6y=-50*(-1)\\\\-4x+ 6y=50[/tex][tex]-4x+ 6y=50[/tex]         +[tex]5x-6y=-49[/tex]-----------------------------------[tex]x + 0 =1\\\\x=1[/tex]Now substitute the value of x in any of the two equations and solve for y[tex]5(1)-6y=-49[/tex][tex]5-6y=-49[/tex][tex]-6y=-49-5[/tex][tex]-6y=-54[/tex][tex]y=\frac{54}{6}[/tex][tex]y=9[/tex]The solution is:[tex](1,\ 9)[/tex]