Which equation can pair with x - y = -2 to create a consistent and dependent system?
6x + 2y = 15
-3x + 3y = 6
-8x - 3y = 2
4x - 4y = 6

Solution:

Given: Equation is x - y = - 2

First convert the standard form of the equation to slope intercept form.

x - y = -2

Subtract x from both sides

x - y - x = -2 - x

- y = -2 - x

Now divide -1 from both sides

y = x + 2

By comparing it with the slope intercept form y = mx + b, we get

Slope m = 1, y intercept b = 2

By considering the option

-3x + 3y = 6

Add 3x on both sides

-3x + 3x + 3y = 6 + 3x

3y = 3x + 6

Divide both sides by 3

y = x + 2

Comparing the slope intercept form

m = 1

y intercept = 2

Therefore, the equation -3x + 3y = 6 can pair with x - y= -2 to create a consistent and dependent system.

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Which equation can pair with x - y = -2 to create a consistent and dependent system?

Summary:

The equation -3x + 3y = 6 can pair with x - y= -2 to create a consistent and dependent system.