# y=4x=12 3y=8-12x `y = 4x+12 `

`3y = 8 - 12x`

Using the substitution method, substitute `4x+12` for `y` into the 2nd equation.

`3(4x+12)=8 - 12x`

`12x + 36 = 8 - 12x`

` ` `24x = -28`

`x = (-28)/24 = (-7)/6`

Now substitute `-7/6` into the first equation to find y.

`y = 4(-7/6)+12`

` ` `y = -14/3+12`

`y = -14/3 + 36/3`

`y = 22/3`

The solutions is `(-7/6,22/3)`

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Approved by eNotes Editorial Team Let's solve this by using Substitution method.

Since the equation was solved for `y` , replace all occurrences of `y` in the other equations with the solution `(4x+12)` .

`y=4x+12 `

`3(4x+12)=8-12x `

Multiply `3` by each term inside the parentheses.

`y=4x+12 `

`12x+36=8-12x `

Move all terms not containing `x` to the right-hand side of the equation.

`y=4x+12 `

`24x+36=8 `

Move all terms not containing `x` to the right-hand side of the equation.

`y=4x+12 `

`24x=-28 `

Divide each side by `24`

`x=-28/24`

Then, simplify by dividing the LCD `4`

`x= -7/6`

Since the equation was solved for `x,` replace all occurrences of `x` in the other equations with the solution `(-7/6)`

`y=4(-7/6)+12 `

Multiply `4` by each term inside the parentheses.

`y=-14/3 +12`

Combine `-14/3 +12`  into a single expression by finding the least common denominator (LCD). The LCD of `-14/3 +12`  is `3` .

`y=(-14+36)/3`

`y=22/3`

This is the solution to the system of equations.

`y=22/3`
`x=-7/6`

Approved by eNotes Editorial Team