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ira [324]
3 years ago
12

Find the value of x 3x+6 41 6x-5 4x+7 62 7x-11

Mathematics
1 answer:
padilas [110]3 years ago
4 0

Answer:

13

Step-by-step explanation:

Simplifying

3x + 6 + 7x + -11 + 41 + 62 + 6x + -5 + 4x + 7 = 360

Reorder the terms:

6 + -11 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 6 + -11 = -5

-5 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: -5 + 41 = 36

36 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 36 + 62 = 98

98 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 98 + -5 = 93

93 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 93 + 7 = 100

100 + 3x + 7x + 6x + 4x = 360

Combine like terms: 3x + 7x = 10x

100 + 10x + 6x + 4x = 360

Combine like terms: 10x + 6x = 16x

100 + 16x + 4x = 360

Combine like terms: 16x + 4x = 20x

100 + 20x = 360

Solving

100 + 20x = 360

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-100' to each side of the equation.

100 + -100 + 20x = 360 + -100

Combine like terms: 100 + -100 = 0

0 + 20x = 360 + -100

20x = 360 + -100

Combine like terms: 360 + -100 = 260

20x = 260

Divide each side by '20'.

x = 13

Simplifying

x = 13

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Answer: The equation for the two given points is y=x+b


Step-by-step explanation:

Step 1. First find the slope: 6-7/2-3 = -1/-1=1. The slope is just 1, or x. So for now, the equation is y=x+b

Step 2. We must find the y-intercept, or B. We can plug in any points to find b. Let's use (2, 6) (but you can use (3, 7) too, it doesn't matter) Plug 2 in for x, since 2 represents x, and then do the same for y. ---> 6=2+b.

Step 3. Simplify. 6=2+b. 6-2=2-2+b ---> b=4. Subtract both sides by 2 to get B.

The equation for the two given points is y=x+b

Hope this helps.

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Step-by-step explanation:

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