Question

What is the result of adding these two equations?

-5x-9y &= 3
5x-9y &= -2

Answer 1

Adding the equations -5x - 9y = 3 and 5x - 9y = -2 results in the elimination of the variable x and simplifies to -18y = 1, yielding
`y = -(1)/(18)\).`

To find the result of adding the two equations -5x - 9y = 3 and 5x - 9y = -2, we can perform the addition directly. The goal is to eliminate one of the variables by making the coefficients of that variable in the two equations equal and then adding the equations.

Adding the equations:

`\[\begin{align**}(-5x - 9y) + (5x - 9y) &= 3 + (-2) \\-5x + 5x - 9y - 9y &= 1 \\-18y &= 1\end{align*}\]`

Now, divide both sides by -18 to solve for y:

`\[y = -(1)/(18)\]`

So, the result is
`\(y = -(1)/(18)\)`. The value of x is not needed since the question specifically asks for the result of adding the equations, and x cancels out during the addition process.

The probable question may be:

What is the result of adding these two equations?

-5x-9y=3

5x-9y=-2