Question

the expression 2x+6 is equal to 9 for some value of x. Without finding the value of x, determine the values for each of the following expressions. show how you arrived at each answer.
(a) 4x+12 (b) 2x+9 (c) x+3 (d) -6x-18 (e) 2x+1 (f) 10x+32

Answer 1

Answer:

Step-by-step explanation:

Answer 2

We know that:

2x + 6 = 9.

Using this we want to find the values of different expressions.

The solutions are:

• a) 4x + 12 = 18
• b) 2x + 9 = 12
• c) x + 3 = 4.5
• d) -6x -18 = -27
• e) 2x + 1 = 4
• f) 10x + 32 = 47

a) 4x + 12

You can see that if we grab the initial equation:

2x + 6 = 9

And multiply both sides by 2 we get:

2(2x + 6) = 2*9

4x + 12 = 18

So we just found the value of the expression.

b) 2x+9

Again we start with the original equation:

2x + 6 = 9

Now we add 3 in both sides:

2x + 6 + 3 = 9 + 3

2x + 9 = 12

We just fond the value of the expression.

c) x + 3

We start with:

2x + 6 = 9

Now we divide both sides by 2:

(2x + 6)/2 = 9/2

x + 3 = 4.5

d) -6x - 18

We start with:

2x + 6 = 9

Here we need to multiply both sides by -3 to get:

(2x + 6)*-3 = 9*-3

-6x -18 = -27

e) 2x + 1

We start with:

2x + 6 = 9

Now we subtract 5 in both sides:

2x + 6 - 5 = 9 - 5

2x + 1 = 4

f) 10x + 32

We start with:

2x + 6 = 9

Now we multiply both sides by 5:

5*(2x + 6) = 5*9

10x + 30 = 45

Now we add 2 to both sides:

10x + 30 + 2 = 45 + 2

10x + 32 = 47.

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