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what is the value of n in the equation ? n = 0 n = 2 n = 4 n = 6; kate begins solving the equation 2/3(6x-3)=1/2(6x-4); what is the value of x in the equation ? 2 13; solve the equation. y + 3 = โy + 9 y = 1 y = 3 y = 6 y = 9; what value of x is in the solution set of 2x โ 3 > 11 โ 5x? โ3 0 2 4; what is the solution to the linear equation? + p = + p p = 1 p = 2 p = 8 p = 10; solve the equation. โ9x + 1 = โx + 17 x = โ8 x = โ2 x = 2 x = 8; which number line represents the solutions to โ2|x| = โ6?

Sagot :

1) The value of n is 2

2) The best interpretation of equation 2/3(6x – 3) =1/2 is the equation has one solution: x = 0
3) The solution to equation y + 3 = -y + 9 is y = 6
4) The value of x is 4

5) The solution to a linear equation 2/5 + p = 4/5 + 3/5p is p = 1

6) The solution to an equation - 9x + 1 = - x + 17 is x = -2

7) A number line represents the solutions to -2|x| = -6  is option 4

1)  We have been given an equation 1/2(n-4) - 3 = 3 - (2n+3)

We need to find the value of n.

1/2(n - 4) - 3 = 3 - (2n+3)

1/2(n - 4) = -2n + 3

n - 4 = -4n + 6

5n = 10

n = 2

2) In this question Kate begins solving the equation 2/3(6x – 3) =1/2 as:

2/3(6x – 3) = 1/2(6x – 4)

4x – 2 = 3x – 2

4x = 3x

We need to find the best interpretation of this equation.

4x - 3x = 0

x=0

Thus, the best interpretation of this equation is the equation has one solution: x = 0

3) In this question we need to solve an equation y + 3 = -y + 9

y + y = 9 + 3

2y = 12

y = 6

4) In this question we need to find the value of x for an inequality 2x - 3 > 11 - 5x

2x - 3 > 11 - 5x

2x + 5x > 11 + 3

7x > 14

x > 2

As x > 2, the value of x is 4.

5) We need to find the solution to a given linear equation.

Consider a linear equation,

2/5 + p = 4/5 + 3/5p

p - 3/5p = 4/5 - 2/5

2/5p = 2/5

p = 1

Thus, the solution to a given linear equation is p = 1

6) In this question, we need to solve an equation - 9x + 1 = - x + 17

- 9x + x + 1 = - x + 17 + x

-8x = 17 - 1

-8x = 16

x = 16/(-8)

x = -2

7) In this question, we have been given an equation -2|x| = -6

Divide both sides by -2.

|x| = 3

The absolute value of x is 3. It means the value if is either 3 or -3.

In the given figure the blue dot represent the solutions of the given equation.

Only option 4 represent the solution at x=3 and x=-3.

Therefore the correct option is 4.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

Given questions are incomplete.

1) Find the complete question in attachment.

2) Kate begins solving the equation 2/3(6x – 3) =1/2 (6x – 4). Her work is correct and is shown below. 2/3(6x – 3) = 1/2(6x – 4) 4x – 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which is the best interpretation of this equation? The equation has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = 4/3. The equation has no solution.

3) Solve the equation. y + 3 = -y + 9

y = 1, y = 3, y = 6, y = 9

4) What value of x is in the solution set of 2x - 3 > 11 - 5x? 

-3, 0, 2, 4

5) To better understand the problem see the attached figure.

6) Solve the equation. - 9x + 1 = - x + 17

x = -8, x = -2, x = 2, x = 8

7) Which number line represents the solutions to –2|x| = –6?

Find the options are in  the attached figure.

View image PratikshaS
View image PratikshaS
View image PratikshaS
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