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choli [55]
4 years ago
6

Solve -3x + 12 = x - 4. Show each step of your work.

Mathematics
2 answers:
pashok25 [27]4 years ago
8 0

Answer x=4

Step-by-step explanation

-3x+12=x-4

+3x      +3x

12=4x-4

+4      +4

16=4x

16/4=4x/4

x=4

OverLord2011 [107]4 years ago
5 0

-3x+12=x-4

move x to the other side

sign changes from +x to -x

-3x-x+12=x-x-4

-3x-x=-4x ( combine like terms)

-4x+12=x-x-4

-4x+12=-4

move +12 to the other side

sign changes from +12 to -12

-4x+12-12=-4-12

-4x=-4-12

-4x=-16

divide both sides by -4 to get +x

-4x/-4=-16/-4

Cross out -4 and -4, divide by 4 . Then becomes -1*-1*x=x

divide by -4 for -16/-4

-16/-4=4

-4/-4=1

4*1=4

Answer:

x=4

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What is the value of b that makes the lines, given by 3x-y=4 and 2y+4bx=1, perpendicular?
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Explanation:

3x-y=4 ...1st equation

Rewriting in slope- intercept form:

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Rewriting in slope- intercept form:

2y = -4bx + 1

y = -4bx/2 + 1/2

Equation of line: y = mx + c

where m = slope, c = intercept

For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.

Slope of the 1st equation = 3

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Slope of the 2nd equation = -4b/2

we equate both slope:

negative reciprocal of 3 = -4b/2

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cross multiply:

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Divide both sides by -12:

-2/-12 = -12b/-12

b = 1/6

Hence, the value of b that makes the lines perpendicular is 1/6

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