`-4x - 6y = 11` `6x + 9y = -3` Solve the system using any algebraic method.

Textbook Question

Chapter 3, 3.2 - Problem 39 - McDougal Littell Algebra 2 (1st Edition, Ron Larson).
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atyourservice | Student, Grade 11 | (Level 3) Valedictorian

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We could use any of these numbers to start off.

We can either choose to solve for x or y it doesn't matter. I will start by solving for y in `6x + 9y =-3`

The first step is to move 6x to the other side by subtracting it because we are trying to get y alone.

`9y = -3 - 6x`

Now divide by 9 because it is standing in the way of y:

`y = -3/9 - (6x)/9`

We can simplify these:

`y = -1/3 - (2x)/3 `

Now plug in these numbers as Y on the other problem:

`-4x - 6(-1/3 - (2x)/3) = 11 `

distribute the -6

`-4x + 2 + 4x = 11 `

combine like terms:

`-4x + 4x + 2 = 11 `

2 `!=` 11

therefore there are no numbers that could satisfy this equation.

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