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12 votes
Can you help me solve for y ?? Please show your work !! Thank you.

Can you help me solve for y ?? Please show your work !! Thank you.-example-1

2 Answers

13 votes

Answer:

y = -3x - 4

Explanation:

x - y - 2 = 4x + 2

x - y - 2 + y = 4x + 2 + y

x - 2 = 4x + 2 + y

x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2

-3x - 4 = y

so y = -3x - 4

User Dan Stern
by
8.6k points
12 votes

Answer:

y = -3x -4

Explanation:

Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.

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It can help to simplify the equation first:

x -(y +2) = 2(2x +1)

x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property

To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.

-y = (4x +2) -(x -2)

-y = 3x +4

To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.

(-y)(-1) = (-1)(3x +4)

y = -3x -4

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Additional comment

Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.

User Milo
by
8.8k points

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