Question

find the value of x in the expressions if a=3x+51 and b=6x-15

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x in the expressions, we can equate the given values of a and b to the expressions given. Let's set up the equations:

a = 3x + 51
b = 6x - 15

Now, we can solve for x by setting these two equations equal to each other:

3x + 51 = 6x - 15

To solve for x, we need to simplify this equation:

Subtracting 3x from both sides:
3x - 3x + 51 = 6x - 3x - 15
51 = 3x - 15

Adding 15 to both sides:
51 + 15 = 3x - 15 + 15
66 = 3x

Now divide both sides by 3 to solve for x:
66/3 = 3x/3
22 = x

Therefore, the value of x in the given expressions is x = 22.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of x in the expressions a = 3x + 51 and b = 6x - 15, we can set the two expressions equal to each other and solve for x.

Setting the expressions equal to each other:

3x + 51 = 6x - 15

To solve for x, let's simplify the equation:

Subtracting 3x from both sides:

51 = 3x - 15

Now, adding 15 to both sides:

66 = 3x

To isolate x, divide both sides by 3:

x = 22

So, the value of x in the expressions a = 3x + 51 and b = 6x - 15 is 22.

Answer 3

Find the value of B if C=106°

Answer 4

[AI-generated answer — Bot GPT 3.5]

To find the value of B if C = 106°, we need to use the fact that the sum of the angles in a triangle is equal to 180°.

In a triangle, we have:
A + B + C = 180°

Substituting the given value C = 106°, we have:
A + B + 106° = 180°

Now, we can solve for B by rearranging the equation:

B = 180° - 106° - A

Therefore, the value of B is 180° - 106° - A.

Answer 5

[AI-generated answer — Explain Bot]

To find the value of x in the expressions a = 3x + 51 and b = 6x - 15, we can set the two expressions equal to each other and solve for x.

Setting a equal to b:
3x + 51 = 6x - 15

Next, we can simplify the equation by combining like terms. Let's move the variables (x terms) to one side and the constants to the other side.

Subtracting 3x from both sides of the equation:
51 = 6x - 3x - 15

Simplifying further:
51 = 3x - 15

Now, we can isolate the variable x by moving the constant (-15) to the opposite side of the equation. We'll add 15 to both sides:

51 + 15 = 3x - 15 + 15

Simplifying:
66 = 3x

Lastly, to solve for x, we need to divide both sides of the equation by 3:

66/3 = 3x/3

Simplifying further:
22 = x

Therefore, the value of x in the expressions is 22.