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

Mathematics

2 answers:

Korolek [52]2 years ago

6 0

Answer:

y = -3x -4

Step-by-step 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.

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

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.

Nadusha1986 [10]2 years ago

4 0

Answer:

y = -3x - 4

Step-by-step 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

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Vsevolod [243]

Answer:

• zero: -4, -4/3, 7

• positive: -4 < x < -4/3 . . . or 7 < x

• negative: x < -4 . . . or -4/3 < x < 7

Step-by-step explanation:

Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.

The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)