Respuesta :
Answer:
The answer is [tex]x=-1\ and\ y=-2.[/tex]
Step-by-step explanation:
Given:
7x-4y=1
-5x+4y=-3
Now, to solve by elimination.
[tex]7x-4y=1 ....(1)\\ -5x+4y=-3 ....(2)[/tex]
So, to solve it using elimination method:
Adding both the equations:
[tex]7x-4y=1\\-5x+4y=-3[/tex]
[tex]7x+(-5x)-4y+4y=1+(-3)[/tex]
[tex]2x=-2[/tex]
Dividing both sides by 2 we get:
[tex]x=-1[/tex]
Now, putting the value of [tex]x[/tex] in equation (1):
[tex]7x-4y=1[/tex]
[tex]7(-1)-4y=1[/tex]
[tex]-7-4y=1[/tex]
Adding both sides -1 we get:
[tex]-8-4y=0[/tex]
Adding both sides 4y we get:
[tex]-8=4y[/tex]
Dividing both sides by 4 we get:
[tex]-2=y[/tex]
[tex]y=-2[/tex]
Therefore, the answer is [tex]x=-1\ and\ y=-2.[/tex]
