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
ArbitrLikvidat [17]
3 years ago
10

If (x, y) = (3, 4) is a solution of the simultaneous equations.

Mathematics
1 answer:
Vinvika [58]3 years ago
4 0
The first thing you want to do is plug in x and y into both equations:

a(3) + b(4) = 4

b(3) + a(4) = 8

rearrange to line up a’s and b’s

3a + 4b = 4

4a + 3b = 8

now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.

4(3a + 4b = 4) = 12a + 16b = 16

3(4a + 3b = 8) = 12a + 9b = 24


Now we subtract the bottom equation from the top and solve for b:

12a + 16b - (12a + 9b) = 16 - 24

7b = -8

b = -8/7


Now we plug back in for b to one of the original equations:

3a + 4(-8/7) = 4

3a + (-32/7) = 4

3a - (32/7) = 4

3a = 4 + (32/7)

3a = (28/7) + (32/7)

3a = 60/7

a = (60/7)/3 = 20/7.


Finally, plug a and b in together to double check using the second equation.

4a + 3b = 8

4(20/7) + 3(-8/7) = ?

(80/7) - (24/7) = ?

56/7 = 8.
You might be interested in
Find the simple interest earned to the nearest cent for a principal, interest rate and time.
Alexus [3.1K]
<h3>Answer:   70.19 dollars</h3>

==================================

Work Shown

P = principal = 658

r = interest rate in decimal form = 0.16

t = time in years = 8/12

----

i = simple interest

i = P*r*t

i = 658*0.16*(8/12)

i = 70.18667

i = 70.19

7 0
3 years ago
1. Write fraction as a mixed number.<br><br> 5/4
anygoal [31]

1 1/4

4 fits into five once, leaving 1/4 left making it a mixed number.

7 0
2 years ago
Read 2 more answers
Question
Mademuasel [1]

Answer: F

Step-by-step explanation:

  1. This does not have infinitely many solutions (adding the equations, we get a fixed value of x)
  2. This has no solutions (the left hand sides are the same but the right hand sides have different values)
  3. This has one solution (the first equation givess a fixed value for x)
  4. This has no solutions (same reason as 2)
  5. This has one solution (same reason as 3, just the second equation instead of the first)
  6. This has infinitely many solutions (multiplying both sides of the top equation by -2 gives the bottom equation).
6 0
2 years ago
How do you read this number. 7,654,321?
spayn [35]
Seven million, six hundred fifty four thousand, three hundred twenty one 
3 0
3 years ago
Three consecutive odd integers have a sum of 99. Write an equation, then find the three integers.
Damm [24]
x + (x + 2) + (x + 4) = 99 \\ 3x + 6 = 99 \\ 3x = 93 \\ x = 31
The values are 31, 33, and 35
The equation found the smallest
Please consider for brainiest
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation of a line in point slope form that passes through (-2, -6) and has a slope of 1/3?
    12·1 answer
  • In a test contains 10 questions, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. S
    7·2 answers
  • A sequence has the formula f(1)=4, f(4)= f(1) + f(n-1) for n&gt;1.
    6·1 answer
  • identify a pattern in the given list of numbers. then use this pattern to find the next number.​ 1,5,1,10,1,20,1
    10·1 answer
  • I NEED HELP PLEASE !
    7·1 answer
  • Interest after 1 year:
    7·2 answers
  • Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Dont understand section 3 assesment review
    13·1 answer
  • Which of the following substances has molecules that are spread the furthest apart?
    14·1 answer
  • Divide -2^3-5x^2+4x+2 by x+2
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!