Question

Solve each system by substitution 14x-35=7y
-25-6x=5y

Answer 1

The solution of the system will be:
`x=0, y= -5`

Explanation:

The given system of equation is......

`14x-35=7y ...................................(1)\\ \\ -25-6x=5y..................................(2)`

First, solving for
`y` in the equation (1) ........

`(14x-35)/(7)= (7y)/(7) \\ \\ y=2x-5`

Now, substituting this
`y=2x-5` into equation (2), we will get........

`-25-6x=5(2x-5)\\ \\ -25-6x=10x-25\\ \\ -25+25=10x+6x\\ \\ 0=16x\\ \\ x=(0)/(16)=0`

Plugging
`x=0` into
`y=2x-5`, we will get.......

`y=2(0)-5= -5`

So, the solution of the system will be:
`x=0, y= -5`