What are the coordinates of 2x-4y=6 and 3x+y=-5 ?

Answer:The coordinates are x = -1 and y = -2.Step-by-step explanation:Given:Equations are 2x-4y=6 and 3x+y=-5.Now, to find the coordinates.[tex]2x-4y=6[/tex]...........(1)[tex]3x+y=-5[/tex]...........(2)So, first we solve the equation 1 to get the value of [tex]x[/tex].[tex]2x-4y=6[/tex]Subtracting both sides by [tex]-4y[/tex] we get:[tex]2x=6+4y[/tex]Dividing both sides by 2 we get:[tex]x=3+2y[/tex]Now, we put the value of [tex]x[/tex] in equation 2 to get [tex]y[/tex].[tex]3x+y=-5[/tex][tex]3(3+2y)+y=-5[/tex][tex]9+6y+y=-5[/tex][tex]9+7y=-5[/tex]On solving the whole equation we get :[tex]y=-2[/tex]And, now putting the value of [tex]y[/tex] in equation (1) we get [tex]x[/tex]:[tex]2x-4y=6[/tex][tex]2x-4(-2)=6[/tex][tex]2x+8=6[/tex][tex]2x=6-8[/tex][tex]2x=-2[/tex]on solving we get:[tex]x=-1[/tex]Therefore, the coordinates are x=-1 and y=-2.