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.
