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
Brut [27]
3 years ago
6

Use the elimination method to solve the system of equations? 6x+2y=8 12x+y=22

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

The solution is: x=2, y=-2

Step-by-step explanation:

Given equations are:

6x+2y=8         Eqn 1

12x+y=22       Eqn 2

Multiplying Eqn 1 by 2

2(6x+2y)=2(8)\\12x+4y=16      Eqn 3

Subtracting Equation 2 from eqn 3

12x+4y-(12x+y)=16-22\\12x+4y-12x-y=-6\\3y=-6\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{-6}{3}\\y=-2

Putting y=-2 in eqn 2

12x-2=22\\Adding\ 2\ on\ both\ sides\\12x-2+2=22+2\\12x=24\\Dividing\ both\ sides\ by\ 12\\\frac{12x}{12} = \frac{24}{2}\\x=2

The solution is: x=2, y=-2

Keywords: Linear equations, Elimination Method

Learn more about elimination method at:

  • brainly.com/question/9738996
  • brainly.com/question/10015690

#LearnwithBrainly

You might be interested in
Find the missing dimensions: Use the scale factor 1/4:3
katrin [286]

Answer:

The answer is 1/4!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Susan needs to simplify the expression shown below.
mash [69]

Answer:

The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29

3 0
3 years ago
Which angles are acute?
mixer [17]

angles x y z are all acute because they are less than 90 degrees

]

4 0
3 years ago
Read 2 more answers
Four hundred meters of fencing is provided to fence three sides of a rectangular pasture. One side is bounded by an existing wal
Sidana [21]
150x100= 15,000 square meters
150x2= 300
100 + 300 = 400 meters of fencing
5 0
3 years ago
A cube has a volume of 64. What is the length of one side of the cube?
bearhunter [10]

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

  • The cube root of a number is the number you multiply by itself 3 times to get another number.
  • One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

  • 1: 1 x 1 x 1 = 1.
  • 2: 2 x 2 x 2 = 8.
  • 3: 3 x 3 x 3 = 27.
  • 4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
Other questions:
  • QUESTION 1
    10·1 answer
  • Mike is renting a boat. The rental fee is $25 for each hour. He rented a boat for 3 hours. Which is the dependent variable in th
    12·1 answer
  • In a hotel a servant needs to clean 30 rooms in 3 hours. How many rooms a servant needs to clean in 6 hours
    13·1 answer
  • Solve for x.<br> -2(5x+4)-3x+3=-18
    10·1 answer
  • Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
    11·2 answers
  • Give two other names for PS
    13·1 answer
  • Please help! all answers are appreciated​
    8·2 answers
  • Marty and Ethan both wrote a function, but in different
    9·1 answer
  • Solve for x or find x ​
    12·1 answer
  • Alyssa was given a gift card for a coffee shop each morning Alyssa uses the gift card to buy one cup of coffee let a represent t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!