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Studentka2010 [4]
3 years ago
10

The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x

+ 4 represent the third integer. Which equation can be used to find the first integer?
3x = 2x + 6

3x + 126 = 2x + 6

2x + 6 = 126

3x + 6 = 126
Mathematics
2 answers:
Radda [10]3 years ago
8 0

Answer:

3x+6=126

Step-by-step explanation:

Let x represent the first even integer

Let x + 2 represent the second even integer

Let x + 4 represent the third even integer

Now we are given that The sum of three consecutive even integers is 126.

ATQ

x+x+2+x+4=126

3x+6=126

So, Option D is correct.

So, equation can be used to find the first integer is 3x+6=126

Ugo [173]3 years ago
6 0
X = 1x
1x + 1x+ 2 +1x + 4 = 126
rearrange
1x+1x+1x+2+4=126
3x+6=126

3x +6=126
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Answer:

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Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form ax+by=c where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as (x,0)

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as (0,y).

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

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So, slope of the line can b given as:

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The slope intercept form of the equation of he line is given as:

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So, the equation of the line can be given as:

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Multiplying each term by 3 to remove fraction.

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3y=-x+12

Adding x both sides.

3y+x=-x+x+12

3y+x=12

Thus, the equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

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