All categories

11 months ago

3x+7y=76 9y+5y=108 find x find y

Mathematics

1 answer:

klemol [59]11 months ago

8 0

In the given system of equations, the value of x is 7.334 and the value of y is 7.714

<h3>Solving system of linear equations</h3>

From the question, we are to solve the given system of linear equations

The given system of linear equations is

3x + 7y = 76 ------------ (1)

9y + 5y = 108 ------------ (2)

From equation (2), solve for y

9y+ 5y = 108

14y = 108

y = 108/14

y = 7.714

Substitute the value of x into equation (1), to determine the value of x

3x + 7y = 76

3x + 7(7.714) = 76

3x + 53.998 = 76

Subtract 53.998 from both sides of the equation

3x + 53.998 - 53.998 = 76 - 53.998

3x = 22.002

Divide both sides of the equation by 3

3x/3 = 22.002/3

x = 7.334

Therefore,

x = 7.334 and y = 7.714

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

You might be interested in

What is the radius of this circle?

dezoksy [38]

Answer: 6 cm

Step-by-step explanation:

6 cm is the radius because half the diameter is the radius

5 0

2 years ago

Read 2 more answers

There was a 6 square foot piece of wrapping paper for a birthday present. It takes 3 3/8 feet of square feet of the paper to wra

Citrus2011 [14]

Answer: However, in real life it depends on the shape of the actual presents. If two sheets are used for the 2 presents. There should be enough left from those sheets to use for the third present. (They should be taped together.)

Step-by-step explanation: 6/3 then 3 over 8 ––> 3/8

6/ 27/8

= 6/1 / divide 27/8

= 6^2 /1 x 8/27 ^9 (^) –––> this mean square root of 2 or 9

6 cancels and 27 cancel

= 16/9

=1 7/9

However you will still need to buy 2 sheets

3 0

2 years ago

A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified accor

anyanavicka [17]

Answer:

Correct option: e) a two-way table.

Step-by-step explanation:

In this case the store wants to see whether there is a relationship between the satisfaction level of the customer and their gender.

In statistics when there is a need to analyze or derive a relation between two categorical variables one should use a two-way table.

Categorical variables are qualitative variables that take on specific values that are usually labels. For example, grades obtained in an exam, gender, etc.

In this case the two categorical variables are: Gender and Satisfaction level.

To study the relation between the gender of a customer and their satisfaction level use a two-way table.

3 0

2 years ago

Which classification describes the following system of equations? inconsistent and dependent consistent and dependent consistent

sveta [45]

The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have three linear equations in three variables:

x - y - z = 0 ..(1)

2x - y + 2z = 1 ..(2)

x - y + z = -2 ..(3)

From the equation (1):

$\rm x=y+z$

Plug this value in the equation (2) and (3):

$\rm 2\left(y+z\right)-y+2z=1\\\\ y+z-y+z=-2$

After solving we get:

z = -1

y = 5

Plug the above two values in equation (1) we get:

x = 4

Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

5 0

1 year ago

(3n^2-5n+6) + (-8n^2-3n-2)=

Aleksandr [31]

Answer:

-5n²-8n+4

Step-by-step explanation:

Remove Parentheses :

3n²-5n+6 - 8n²-3n-2

Collect/Combine Like terms:

(3n²-8n²) + (-5n-3n) +(6-2)

Simplify:

-5n²-8n+4

7 0

3 years ago