Question

How do you solve the system of equations `3x = - 5y + 6` and `- 12x - 3y = - 24`?

Answer 1

See below

Explanation:

`3x = -5y + 6`
Multiply 4 both sides
`12x = -20y + 24`

`-12x -3y = - 24`
`-12x = 3y - 24`

Now add both the equations
You get,
`12x - 12x = -20y + 24 + 3y -24`
`0 = -17y`
`0 = 17y`
`0 = y`

Now put this value of y in any equation.
`3x = -5y + 6`
`3x = -5(0) + 6`
`3x = 0 + 6`
`3x = 6`
`x = 2`