Question

Find the solution of the system equations.
10x-7y=-1
-2x-7y=-25

Answer 1

`x=2, y=3`

Explanation:

Given equations:

`10x-7y=-1`

`-2x-7y=-25`

We can subtract the two equations from each other to eliminate
`y` to solve for
`x`:

`10x-7y-(-2x-7y)=-1-(-25)`

`10x-7y+2x+7y=-1+25`

`12x=24`

`x=2`

Now, we can use substitution to solve for
`y`:

`10x-7y=-1`

`10(2)-7y=-1`

`20-7y=-1`

`7y=21`

`y=3`

∴
`x=2, y=3`

Hope this helps :)

Answer 2

-7y=-10x-1
-7y=-25+2x
-10x-1=-25+2x
x=2