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
kipiarov [429]
3 years ago
10

7x + 6y = -1 ; -x + 2y = 3 with elimination

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

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

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

------------------------------------------------------------

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

You might be interested in
What is  7.8× 10^5 hours in days?
Colt1911 [192]
32500 because you divide by 24.
8 0
3 years ago
4 more than the quotient of 7 and m
tangare [24]

Answer:

4+ 7/m

Step-by-step explanation:

there might be parentheses but this is what the expression  would look like

3 0
3 years ago
Read 2 more answers
Which customary unit would be best to measure the capacity of water in a dolphin tank at an aquarium?
rewona [7]
The best unit to measure the capacity of water, would be gallons
5 0
3 years ago
Read 2 more answers
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additiona
earnstyle [38]

Using a linear function, the correct option regarding the situation is given by:

C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.

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

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:

C(x) = 1.28x + 38

The bill should be between $57 and $87 dollars per month, hence:

57 <= C(x) <= 87.

The values of x are:

C(x) >= 57

1.28x + 38 >= 57

x >= 19/1.28

x >= 14.8.

C(x) >= 87

1.28x + 38 >= 87

x >= 49/1.28

x >= 38.3.

Hence option C is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
Help me plz, i need help
USPshnik [31]

Answer:

35      5/ 7

word form: thirty five and five sevenths

3 0
3 years ago
Other questions:
  • How many 3-digit numerical passwords are there if a digit cannot be repeated?
    8·1 answer
  • I need to know this answer I've worked it out but not sure
    8·2 answers
  • 42 is what percent of 60
    13·2 answers
  • Given f(x)=1/x+5 and g(x)=x-2
    14·1 answer
  • A card is selected at random from a standard deck. find each probability. randomly selecting a club or a 3
    10·1 answer
  • Use the zero product property to find the solutions to the eqation 6x^2 -5x=56​
    15·1 answer
  • Which is the order from least to greatest?
    5·2 answers
  • What is x? Do not include the degree symbol in your answer.
    13·2 answers
  • Can someone help please:)
    9·2 answers
  • In Mr. Johanessen's class, 1/4 of the students failed the final exam. Of the remaining students in the class, 1/3 scored an A. W
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!