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
guapka [62]
2 years ago
6

Which method would be best (quickest) for solving the system below: 3x - 4y = -2 y = 2x + 1

Mathematics
1 answer:
taurus [48]2 years ago
8 0
To solve with Elimination:

Write the equations under one another, like this:

2x - y = -1
+ 3x + 4y = 26

Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.

If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!

4( 2x - y = -1)
+ 3x + 4y = 26

Be certain to Distribute across the entire first equation, so multiply all three terms by 4.

8x - 4y = -4
+ 3x + 4y = 26

Now add straight down (vertically). The y term will be eliminated.

11x = 22

Divide both sides of the equation by 11.

x = 2

Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.

3x + 4y = 26

3(2) + 4y = 26

6 + 4y = 26

Subtract 6 from both sides of the equation.

4y = 20

Divide both sides of the equation by 4.

y = 5

That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).
You might be interested in
The perimeter of a triangle is 28 ft. The medium side is 4 ft longer than the shortest side,while the longest side is twice as l
Aliun [14]
Hope this helps you!

6 0
3 years ago
Answer please. no explanation needed!
vazorg [7]
I believe the answer is 2
8 0
3 years ago
I need an answer! NO LINKS PLS! il give brainlist
cricket20 [7]

Answer:

D. The company's chocolate bars weigh 3.2 ounces on average.

Step-by-step explanation:

We are given that  a company claims that its chocolate bars weigh 3.2 ounces on average.

The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.

Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.

Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.

Thus Option D is correct.

D. The company's chocolate bars weigh 3.2 ounces on average.

4 0
3 years ago
Which one is correct
Alexandra [31]

Answer:

i believe its false good Sir

6 0
2 years ago
Read 2 more answers
Describe how to use a tens fact to find the difference for 15-8
shusha [124]
You can round 15 to 20, and 8 to 10
7 0
3 years ago
Other questions:
  • A researcher examines 27 sedimentary samples for bromide concentration. The mean bromide concentration for the sample data is 0.
    10·1 answer
  • When constructing parallel and perpendicular lines how are the steps simillar
    10·1 answer
  • Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou
    5·1 answer
  • Find the positive values of p for which the series converges. (enter your answer using interval notation.) ∞ n (1 + n2)p n = 1
    14·1 answer
  • Helppppp please !!!!!​
    15·1 answer
  • You will need 90 feet of fencing to put all the way around a rectangular garden. The width of the garden is 10 feet. What is the
    11·1 answer
  • Who is a middle child that is smart ,good at a certain talent (my talent is singing) and gets least attention from your parents
    14·1 answer
  • Lines l and m are parallel find Measure of angle 7
    9·1 answer
  • When graphing inequalities, where can the solutions be found?
    5·2 answers
  • 2. In 2010. Clark's enrollment was 2800. Enrollment has grown approximately 2.5% each year since then, Write an exponential func
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!