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NikAS [45]
3 years ago
15

Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali

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Mathematics
2 answers:
wariber [46]3 years ago
6 0

Answer:

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

butalik [34]3 years ago
4 0

Answer: Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

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-12x + 18y = 21<br>(6x -9 = -9​
Leokris [45]

Answer:

x = 0 , y = 7/6

Step-by-step explanation:

Solve the following system:

{18 y - 12 x = 21

6 x - 9 = -9

In the second equation, look to solve for x:

{18 y - 12 x = 21

6 x - 9 = -9

Add 9 to both sides:

{18 y - 12 x = 21

6 x = 0

Divide both sides by 6:

{18 y - 12 x = 21

x = 0

Substitute x = 0 into the first equation:

{18 y = 21

x = 0

In the first equation, look to solve for y:

{18 y = 21

x = 0

Divide both sides by 18:

{y = 7/6

x = 0

Collect results in alphabetical order:

Answer: {x = 0 , y = 7/6

4 0
3 years ago
If you have 20 coins worth $1.35, and you only have nickels and dimes, how many do you have of each coin?
ankoles [38]
N + d = 20....n = 20 - d
0.05n + 0.10d = 1.35

0.05(20 - d) + 0.10n = 1.35
1 - 0.05d + 0.10d = 1.35
-0.05d + 0.10d = 1.35 - 1
0.05d = 0.35
d = 0.35/0.05
d = 7 <==== 7 dimes

n + d = 20
n + 7 = 20
n = 20 - 7
n = 13 <=== 13 nickels
5 0
3 years ago
The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till
siniylev [52]

Step-by-step explanation:

the equation :

Hn = 7n + 3

where :

Hn : the height of trees at year to-n

n : year to-n (n = 1,2,3,...)

so, the rate of change : increasing 7 feet per year.

8 0
2 years ago
2m+2p =16 solve for m
Anna [14]
The answer would be m=12
7 0
3 years ago
A house is 46.0 ft long and 50 ft wide, and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic m
I am Lyosha [343]
Volume of house = 46*50*8=18400 ft^3
Each foot equals 0.3048 m. (exactly).
Therefore 1 ft^3 = 0.3048^3 m^3
Therefore volume of the interior of the house 
= 18400 ft^3 * .3048^3 m^3/ft^3
=18400*.3048^3 m^3
=521.0299772928 m^3
=521 m^3 (nearest m^3) ................(a)
or, in cubic centimeters
=521 m^3 * (100cm/m)^3
=521.0299772928 * 100^3 cm^3
=521029977.2928 cm^3
=521029977 cm^3  (nearest cm^3) .........(b)

Answer: see (a) and (b).
4 0
3 years ago
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