Question

Solve by elimination 7x-4y=1 -5x+4y=-3​

Answer 1

The answer is
`x=-1\ and\ y=-2.`

Explanation:

Given:

7x-4y=1

-5x+4y=-3

Now, to solve by elimination.

`7x-4y=1 ....(1)\\ -5x+4y=-3 ....(2)`

So, to solve it using elimination method:

Adding both the equations:

`7x-4y=1\\-5x+4y=-3`

`7x+(-5x)-4y+4y=1+(-3)`

`2x=-2`

Dividing both sides by 2 we get:

`x=-1`

Now, putting the value of
`x` in equation (1):

`7x-4y=1`

`7(-1)-4y=1`

`-7-4y=1`

Adding both sides -1 we get:

`-8-4y=0`

Adding both sides 4y we get:

`-8=4y`

Dividing both sides by 4 we get:

`-2=y`

`y=-2`

Therefore, the answer is
`x=-1\ and\ y=-2.`