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
kirill115 [55]
3 years ago
11

60 POINTS!!!! PLEASE HELP URGENT

Mathematics
1 answer:
sammy [17]3 years ago
3 0

Using linear combination method to solve the system of equations 3x - 8y = 7  and x + 2y = -7 is (x, y) = (-3, -2)

<h3><u>Solution:</u></h3>

Given that, a system of equations are:

3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)

We have to solve the system of equations using linear combination method and find their solution.

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.

Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.

4x + 8y = -28 ⇒ (3)

Now, add (1) and (3)  

3x – 8y = 7  

4x + 8y = - 28  

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

7x + 0 = - 21  

7x = -21  

x = - 3  

Now, substitute "x" value in (2)

(2) ⇒ -3 + 2y = - 7  

2y = 3 – 7  

2y = - 4  

y = -2

Hence, the solution for the given two system of equations is (-3, -2)

You might be interested in
Write and solve a word problem in which there are 3 yellow beads for every 2 blue beads
baherus [9]

Ronald has 5 sets of three yellow beads, if there are 2 blue beads for every set, what is the total amount of blue beads?


8 0
3 years ago
Determine whether the relation describe c as a function of w.
Delicious77 [7]

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

where, c is in dollars and w is in ounces.

5 0
3 years ago
In the nocturnal house at the zoo, there are 4 bats for every 3 spiders. If there are 112 bats and spiders, how many are bats? H
In-s [12.5K]

Answer:

9

Step-by-step explanation:

hehsn. iuxxj y eiwyaoa

5 0
3 years ago
Which pair of number has the least common multiple of 12
liraira [26]

Answer:

3 and 4.

Step-by-step explanation:

3 * 2 *2 = 12.

So 3 and 4 have an LCM of 12.

5 0
3 years ago
Evaluate -4a+8z if a=8 and z=3?​
vladimir1956 [14]

Answer:

-8

Step-by-step explanation:

-4 x 8 = -32

8 x 3 = 24

-32 + 24 = -8

Hope this is right and helps!

4 0
3 years ago
Other questions:
  • What is 9999999999999999999999999999999×99999999999999999999999991112
    11·1 answer
  • Question 4 Unsaved The area of Canada is approximately 1 x 107 square miles. The area of Italy is approximately 3 x 105 square m
    10·2 answers
  • There are 452 pictures of dogs in 4 equal groups. How many pictures are in each group? Explain how you can use place value to pl
    12·1 answer
  • Need Help What Is -10r+9r
    14·2 answers
  • What is the difference of 7/12 and 8/15
    12·1 answer
  • Solve the following proportion for u u/5=8/3 round answer to nearest tenth
    12·1 answer
  • George sells flowers for $12 a bundle and charges a $15 delivery fee. Sam buys 6
    11·1 answer
  • Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regula
    9·2 answers
  • I need help with this problem ASAP
    8·1 answer
  • Which of the following best describes the ordered pairs listed below? (-3, 4), (2, -6), (7, -16), (9, -20) A. function only B. b
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!