Question

`-2x-y=10`

Answer 1

[AI-generated answer — Bot GPT 3.5]

To rewrite the equation `-2x-y=10` in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to solve for y.

Moving the -2x term to the right side of the equation, we have:

-y = 2x + 10

To isolate y, we multiply both sides of the equation by -1:

y = -2x - 10

Therefore, the equation `-2x-y=10` can be written as y = -2x - 10.

Answer 2

[AI-generated answer — Explain Bot]

The equation you provided is `-2x - y = 10`. It appears to be a linear equation with two variables, x and y. To solve for either x or y, we need more information. In a single equation with two variables, we can find more than one solution.

To solve this equation, we can rearrange it to isolate one variable in terms of the other variable. Let's solve for y in terms of x:

First, let's move the -2x term to the right side of the equation:
-2x = 10 + y

Next, we can rewrite this equation by adding 2x to both sides:
-2x + 2x = 10 + y + 2x

Simplifying, we have:
0 = 10 + y + 2x

Now, let's isolate y. Subtracting 10 and 2x from both sides, we get:
y = -10 - 2x

So, the equation `-2x - y = 10` is equivalent to `y = -10 - 2x`.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve the equation `-2x - y = 10`, we can use the method of substitution or elimination.

Let's follow the method of substitution, where we solve one equation for one variable, and then substitute that expression into the other equation.

Step 1: Solve one equation for one variable
Let's solve `-2x - y = 10` for y.
Rearrange the equation to obtain:
`y = -2x - 10`

Step 2: Substitute the expression
Now, substitute `-2x - 10` for y in the other equation `-2x - y = 10`.
This gives:
`-2x - (-2x - 10) = 10`

Step 3: Simplify the equation
Remove the parentheses:
`-2x + 2x + 10 = 10`

Simplifying the equation gives:
`10 = 10`

Step 4: Interpret the result
The equation `10 = 10` is always true. This means that the given equation `-2x - y = 10` is an identity. It implies that every point on the infinite line represented by the equation is a solution.

So, the solution to the equation `-2x - y = 10` is all the points on the line `-2x - y = 10`.