Answer:
The solution for y = -1.
Step-by-step explanation:
Given:
[tex]2x\ +\ 7y\ =\ 1[/tex] ....(1)
[tex]2x\ -\ 4y\ =\ 12[/tex] ....(2)
So, to solve for y, first we solve for x in equation (2):
[tex]2x-4y=12[/tex]
⇒[tex]2x=12+4y[/tex]
Dividing both sides by 2,
⇒[tex]x=6+2y[/tex]
Now, substituting the value of x in equation (1):
[tex]2x+7y=1[/tex]
⇒[tex]2(6+2y)+7y=1[/tex]
⇒[tex]12+4y+7y=1[/tex]
⇒[tex]12+11y=1[/tex]
⇒[tex]11y=1-12[/tex]
⇒[tex]11y=-11[/tex]
Dividing both sides by 11,
⇒[tex]y=-1[/tex]
Therefore, the solution for y = -1.
