1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
2 years ago
8

Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.

Mathematics
2 answers:
svet-max [94.6K]2 years ago
4 0

Answer:

Given: 7y =8x-14 , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

7(6)= 8x - 14

or

42 = 8x -14                       ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

56 = 8x              

or

8x =56                                 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

\frac{8x}{8} =\frac{56}{8}

Simplify:

x =7                             Hence proved!

A two Column proof:

 Statement                                Reason

1. 7y = 8x -14                                   Given

    y= 6

2. 7(6) = 8x -14                                Substitution property

3.  42+14 = 8x                                  Addition property of equality

4.   56 =8x                                       Simplify

5.    x =7                                           Division Property of equality

trasher [3.6K]2 years ago
4 0

Given - 7y=8x-14 : y=6

Substitution Property - 7(6)=8x-14

Distributive Property - 8x-14=42

Addition Property - 8x=56

Division Property - x=7

You might be interested in
Please help me I'm not sure what the answer is
gogolik [260]

Step-by-step explanation:

yes yours answer is correct .

4 0
3 years ago
Please help idk thisssss
Alekssandra [29.7K]
ANSWER
0.073 \% = 0.00073


EXPLANATION

Recall that,

\% =  \frac{1}{100}


That is why
100\%
is equivalent to
1.





This implies that,


0.073\% = 0.073 \times  \frac{1}{100}






This is the same as,


0.073\% = \frac{0.073}{100}


When we are dividing by
100
we move the decimal point backwards two times.


This implies that,

0.073\% = 0.00073


6 0
3 years ago
Read 2 more answers
The two-way table shows the number of students that would rather be a member of the band or chorus if they could only choose one
sergey [27]

Answer:

There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.

4 0
3 years ago
Which of the following coordinates would be on the line y = 2x (0, 2) (2, 0) (1, 2) (2, 2) Please explain it!
jolli1 [7]

Answ(0,2)

By putting x 0 and y 2

Step-by-step explanation:

4 0
3 years ago
The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are _____. a. a an
adelina 88 [10]

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

<h3>What is a population model?</h3>

A population model can be represented by the equation:

\mu_y=\beta_1x + \beta_o

Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

Find out more on population parameters at: brainly.com/question/2292917

5 0
2 years ago
Other questions:
  • Distributive property to express 14+63
    11·2 answers
  • You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Cana
    8·1 answer
  • -4x+3y=-2<br><br>y=x-1<br><br>y=? x=?​
    12·1 answer
  • Hank buys a used car for $7,200 and plans to sell it on his used car lot. What is the price of the car after a markup of 15%?
    11·2 answers
  • marvin buys a hose 27 3/4 feet long he already owns a hose at home that is 2/3 the length of the new hose. how many total yards
    7·2 answers
  • 45 is 90% of what number?
    13·2 answers
  • What (fog)(-3) is? Thank you for the help!
    15·1 answer
  • Which of the following is the solution
    10·1 answer
  • Please answer CORRECTLY !!!!!!!!! Will mark brainliest !!!!!!!!!!
    12·1 answer
  • Tina wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 7/12 m by 3 /14 m. Find the area the gras
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!