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
Juli2301 [7.4K]
3 years ago
5

What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

Please, separate equations with a comma, or the word "and," or a semicolon.

Next, determine the LCD and multiply both equations by it, so as to elimiinate the fractional coefficients.

3y=3/2x+6 1/2y-1/4x=3

should be written as the system

   3y=(3/2)x+6         Use parentheses around the fraction for clarity

(1/2)y-(1/4)x=3            Same:  use parentheses

The LCDs here are 2 (for the first equation) and 4 (for the second equation).  Multiply the first equation by 2 to eliminate the fractions:

   3y=(3/2)x+6         →   6y = 3x + 12, and

4[ (1/2)y-(1/4)x=3 ]     →   2y  -  x   = 12

Let's use the substitution method to solve this system.  Solve the 2nd equation for x, obtaining x = 2y - 12.  Substitute 2y - 12 for x in the 1st equation 6y = 3x + 12:

6y = 3(2y - 12) + 12, or

6y = 6y - 36 + 12

This reduces to 0 = -24, which is never true.  Thus,

this system has NO solution.

 

You might be interested in
A 6 ounce package of fruit snacks contains 45 pieces how many pieceswould would you expect in a10 ounce package
pochemuha

Answer:

75 pieces

Step-by-step explanation:

1. determine how many pieces per ounce by dividing 45 by 6 (# of pieces in a 6 oz bag)

    45/6= 7.5 pieces per ounce

2. multiply 7.5 (for one ounce) by 10

    7.5*10 = 75

8 0
3 years ago
Add the fraction 1/2+3/18
AURORKA [14]
1/2 + 3/18 = 9/18 + 3/18 = 12/18 = 2/3

3/45 + 6/50 = 1/15 + 3/25 = 5/75 + 9/75 = 14/75
8 0
3 years ago
Read 2 more answers
Solve the following problems
Crank
C. [-1 10 0 -9 1 8]
B. [0 -6 3 4 1 -4]
7 0
3 years ago
Find the slope of the line through the given points.<br> (1, 3) and (0, -9)
SVEN [57.7K]
Slope is 12/1 which is just 12
6 0
2 years ago
Calculate the area of each triangle. Figure are not drawn to scale.
Otrada [13]

Answer:

105.84 cm

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (16.8) 12.6

A = 1/2 (211.68)

A = 105.84 cm

hope it helps :)

mark brainliest!!

5 0
3 years ago
Other questions:
  • 37 is what percent more than 32
    6·1 answer
  • What is the value of x in this figure?<br><br><br> 52√<br><br> 53√<br><br> 103√3<br><br> 5
    13·2 answers
  • A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make
    13·2 answers
  • The histogram shows the ages of people in a community chorus. How many people in the chorus are 50 or older? Enter your answer i
    7·2 answers
  • 1. What is 1/5 x 5
    8·1 answer
  • (05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.
    7·2 answers
  • 2<br> 5p +<br> 3 4<br> +<br> 5 5<br> 15<br> Solve it
    8·1 answer
  • Evaluate and simplify the following complex fraction.
    12·1 answer
  • WILL GIVE POINTS FOR Quick ANSWER TY!<br> Solve for x.
    11·1 answer
  • Alan wants to play a game in which each player gets 3 cards. He has a total of 17 cards. How many people can play? How many card
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!