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xxTIMURxx [149]
4 years ago
10

Find the value of x. 3x-6

Mathematics
1 answer:
s344n2d4d5 [400]4 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

We can use ratios to solve

3x-6            10

----------   = -------------------

12+(3x-6)        10+8

Simplifying

3x-6            10

----------   = -------------------

(3x+6)        18

Using cross products

18(3x-6) = 10(3x+6)

Distribute

54x - 108 = 30x +60

Subtract 30x from each side

54x-30x -108 = 60

24x -108 = 60

Add 108 to each side

24x = 60+108

24x = 168

Divide each side by 24

24x/24 = 168/24

x =7

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Answer:

y=-x+5

Step-by-step explanation:

first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)

here are the given points: (4,1) and (8,-3)

label the points:

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now substitute into the equation

m=(-3-1)/(8-4)

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the slope of the line is -1.

Now, use slope-point form, which is y-y1=m(x-x1)

substitute the numbers into the equation

y-1=-1(x-4)

do distributive prop

y-1=-x+4

add 1 to both sides

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the equation of the line is y=-x+5

hope this helps :)

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Step-by-step explanation:

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