All categories

3 years ago

What is the value of x in the equation 3x − 2 = x + 8?

Mathematics

1 answer:

N76 [4]3 years ago

4 0

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

+2 +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

You might be interested in

Evaluate the expression below when x= -2 x+4

ZanzabumX [31]

Answer:

x+4= -2+4

x+4 = 2

Step-by-step explanation:

3 0

3 years ago

15n + 24 - 4(n - 3) + 6 - 2n = 105

elena55 [62]

Just trying to win the CONTEST BUT GOOOOD LUCK

7 0

3 years ago

Read 2 more answers

In the parabola y = (x + 12 + 2, what is the vertex?

VladimirAG [237]

Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$y=x^{2}+12x+2$

Convert in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-2=x^{2}+12x$

Complete the square . Remember to balance the equation by adding the same constants to each side.

$y-2+36=x^{2}+12x+36$

$y+34=x^{2}+12x+36$

Rewrite as perfect squares

$y+34=(x+6)^{2}$

$y=(x+6)^{2}-34$

The vertex is the point (-6,-34)

4 0

4 years ago

Dilations… please help I will give you brainless

DochEvi [55]

Answer:

The scale factor is 0.5

Step-by-step explanation:

Divide.

2/1=2

4/2=2

8/4=2

2/1=2

5/1.25=2

Now then, since this is a shrinking factor, divide 1 by the common outcome from the last section (2) to get 0.5

4 0

3 years ago

does somebody knows how to do this one?

vlada-n [284]

Answer:

Step-by-step explanation:

To find the area subtract the area of the semicircle from the area of the rectangle.

Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.

The area of rectangle is:

⇒ $A = lw$

⇒ $A = (14)(8)$

⇒ $A = 112cm^{2}$

The area of the semicircle;

⇒ $A = \frac{1}{2}\pi r^{2}$

⇒ $A = \frac{1}{2}\pi (7)^{2}$

*Note here that the radius is half the diameter, so it is 7cm, not 14cm

⇒ $A = 76.97cm^{2}$

Finally subtract the two areas;

⇒ $A = 112 - 76.97$

⇒ $A = 35.03cm^{2}$

6 0

2 years ago