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Directions: Convert each linear equation in two variables to slope intercept form show your solution.

2. 6x - 2(y + 3) = 2(x + 5) - 12​


Sagot :

ANSWER

y = 2x - 2

EXPLANATION

Given:

6x - 2(y + 3) = 2(x + 5) - 12

Solution:

Step 1: Convert the equation in "y = mx + c" form. Apply distributive property of multiplication.

6x - 2(y + 3) = 2(x + 5) - 12

6x - 2y - 6 = 2x + 10 - 12

Step 2: Transpose all the monomials at the right side of the equation except for the monomial that has a "y" variable. Take note that the sign needs to be changed as you transpose it.

6x - 2y - 6 = 2x + 10 - 12

-2y = 2x + 10 - 12 - 6x + 6

Step 3: Simplify.

-2y = 2x + 10 - 12 - 6x + 6

-2y = - 4x + 4

-y = - 2x + 2

y = 2x - 2

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