Question

How do you solve the following system: #4x-5y-23=0 , -2x=6y+18 #?

Answer 1

`x = 1.41, y = -3.47`

Explanation:

For the first equation, start by adding `23` to both sides, so that:

`4x - 5y = 23`

Then for the second equation, subtract `6y` from both sides, so that:

`-2x - 6y = 18`

Then solve for `y` by multiplying the second equation by `2` on both sides and adding the two equations:

`4x - 5y = 23`
`+2*(-2x - 6y) = 2*18`

This gives:

`-17y = 59`, so `y = -3.47`

Then, to solve for `x`, multiply both sides of the first equation by 6 and both sides of the second equation by `-5` and add them:

`6*(4x - 5y) = 6*23`
`+5*(2x - 6y) = -5*18`

This gives:

`34x = 48`, so `x = 1.41`

You can check your answers by substituting `1.41` for `x` and `-3.47` for `y`.