7X +5 = 3X - 11what is the answer to this and how to do I solve it

2 answers:

7 0

Let me answer those two questions in the reverse order.

1). How it can be solved:

   7x + 5 = 3x - 11
Subtract 3x
from each side: 4x + 5 =    - 11

Subtract 5
from each side:    4x =    - 16

Divide each side
by 4 :    x    =    - 4

2). The answer is x = - 4 .
-4 is called the 'solution' to the equation, because that's the number
that 'X' MUST be. If it's any other number, then the equation is not
a true statement.

castortr0y [4]4 years ago

4 0

The answer will be x=4. First you subtract 3x from both sides to bring the variable to one side and you get 4x. Then you subtract 5 from both sides and you get -16. Lastly you divide and you get x=4

You might be interested in

Solve the two step equation 8x+38=60

Paladinen [302]

Answer:

x = 2.75

Step-by-step explanation:

The goal here is to isolate the variable, or to get x by itself. We can do this by using simple math. The first step is to move every thing to the opposite side of x. We do this by subtracting 38 from 60, which leaves us with 22. Now we want divide 22 by 8. After doing this we are left with the equation x = 2.75. I know that at first fractions and decimals seem annoying and they feel like a lot of work. But if you take a second to really look at them, you will realize they are not that bad. As in most cases with math, looks can be deceiving

8 0

4 years ago

1. Write an<br> expression that is equivalent to 15m - 12

Harlamova29_29 [7]

Answer:

Use the distributive property to write an equivalent expression 2f + 10 answers: a. f(2 +10) b. 2(f + 5) c. 2(f + 10)

Step-by-step explanation:

3 0

3 years ago

The ratio of the side lengths for a triangle is exactly 9:12:15. In another triangle, which is similar to the first, the shortes

AfilCa [17]

Answer: C

Step-by-step explanation:

4 0

3 years ago

a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar

Margarita [4]

A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem:

$h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x$

thus,

$Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2$

thus:

$x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\ \sqrt{3} }{3}=24 \sqrt{3}$ (cm^2)

but $x^{2}$ is exactly the base area, since the base is a square of sidelength = x cm.

So, the total surface area = base area + lateral area = $24 \sqrt{3}+72$ cm^2

Answer: $24 \sqrt{3}+72$ cm^2

4 0

3 years ago

What is 5.63×10−6in decimal form?a. 0.00000563 b. 0.000000563 c.5,630,000d. 56,300,000

Lelu [443]

$5.63 \times {10}^{ - 6}$

To convert into decimal, move the decimal to the left by 6 positions.

It will be 0.00000563

Answer is A.

3 0

3 years ago