2x+y=-6 what the answer

Answer 1

This one looks tricky, but let's start by choosing the variable that we can easily isolate. This time it is y. Let's subtract 2x from each side.

2x - 2x +y = -6 -2x

y = -6-2x

From here, it's a matter of substituting numbers for x, then solving. Let's start with 0.

If x = 0, y = -6 - 2(0) ->>>> y = -6

IF we want to check x = 0, and y = 6, then put it into the original equation.

2(0) + (-6) = -6

-6 = -6

So, our Answer is x = 0, y = -6

HOWEVER!!! There could be multiple answers to this problem, depending on what you put in for x.

Example: Let' say x = 1 instead. This turns the equation we found for y into: y = -6 -2(1)

then y = -6 -2, which equals -8. Therefore, when x = 1, y = -2

And if x = -1, then y = -6 -2(-1) -> y = -6 + 2, which equals -4. Therefore, when x = -1, y = -4

Here's a short table to demonstrate other solutions:

If x = -2, y = -2

If x = -1, y = -4

if x = 0, y = -6

if x = 1, y = -8

if x = 2, y = -10