Question

Solve the system using elimination18x + 6y = 018x14y-60Show your work here:Solution

Answer 1

Given:

`18x+6y=0\ldots\ldots\ldots(1)`
`18x-14y=-60\ldots\ldots\ldots\ldots\ldots(2)`

To find:

We need find the solution to the given system of equations.

Step-by-step explanation:

Substract equation (2) from (1).

`(18x+6y)-(18x-14y)=0-(-60)`

`18x+6y-18x+14y=60`

`18x-18x+6y+14y=60`

`20y=60`

Divide both sides of the equation by 20.

`(20y)/(20)=(60)/(20)`
`y=3`

Substitute y=3 in the equation (1).

`18x+6(3)=0`

`18x+18=0`

Subtract 18 from both sides of the equation.

`18x+18-18=0-18`

`18x=-18`

Divide both sides by 18.

`(18x)/(18)=-(18)/(18)`
`x=-1`

Final answer:

The solution is

`x=-1`
`y=3`