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
dusya [7]
3 years ago
5

20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.

3x-8y=7" " " " x+2y=-7
Mathematics
1 answer:
madreJ [45]3 years ago
7 0

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

  • Arrange the equations with like terms in columns
  • Analyze the coefficients of x or y
  • Add the equations and solve for the remaining variable
  • Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

 magnitude and different in sign

∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

∴ 7 x = -21

- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

∵ x + 2 y = -7 ⇒ (2)

∵ x = -3

∴ -3 + 2 y = -7

- Add 3 to both sides

∴ 2 y = -4

- Divide both sides by 2

∴ y = -2

The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

#LearnwithBrainly

You might be interested in
Put the following numbers in order from least to greatest 6.-3, 0, 4.-5​
Setler [38]

Answer:

-5, -3, 0, 4, 6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Select the correct responses in the table. The relationship between two numbers is described below, where x represents the first
zhenek [66]

9514 1404 393

Answer:

  • x² = y + 16
  • 4y - 1 = 7x
  • (5, 9)

Step-by-step explanation:

Writing equations from words is mostly a matter of understanding what the English words mean.

If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:

  x² = y + 16 . . . . the first equation

The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...

  4y -1

This is equal to the first number (x) multiplied by 7, so ...

  4y -1 = 7x . . . . the second equation

__

These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...

  (x, y) = (5, 9)

3 0
3 years ago
22 less than the quotient of an unknown number and 35 is -25
Alborosie
76-(xdevided5)=116 is the answer

4 0
3 years ago
What is the product of the complex numbers (3 + i) and<br> (3 - i)?
dedylja [7]

Answer:

\left(3+i\right)y\left(3-i\right)=10y

Step-by-step explanation:

\left(3+i\right)y\left(3-i\right)

\left(3+i\right)\left(3-i\right)y

=y\cdot \:10

=10y

5 0
2 years ago
Which expression represents the product of s and 39?<br>A=39-s<br>B=39÷s<br>C=39s<br>D=39+s​
Degger [83]
The answer would be c because it means Multiply and whenever a variable is next to a number in this case 39s then that means it a multiplication
So C. 39s
4 0
2 years ago
Other questions:
  • the length of an object is measured as 95.7 centimeters. what is this measurement in scientific notation?
    9·1 answer
  • What is the simplified form of the expression?
    13·2 answers
  • The seventh grade class contributed $60 toward refreshments and the sixth grade contributed $50. How much money did the seventh
    7·1 answer
  • I need the answer in a fraction if possible
    15·1 answer
  • 6 divided by 2 (1 2)=?
    8·1 answer
  • Use the distributive property to express each sum With the gcf factored out .<br> 35+63
    10·2 answers
  • A baker uses 6.5 pounds of sugar daily. How many ounces of sugar will he use in 3 weeks? Use words or numbers to explain your th
    9·1 answer
  • What is 0.093 in scientific notation
    7·1 answer
  • Draw the image 1/2 turn counter clockwise. (Please Help Me at this question will give uh brainliest)!!!​
    10·1 answer
  • BYE EBYE BUE BYE BYE BYE BYE BYEWhat Bye.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!