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
Would the scale drawing of a rocket be smaller or larger than the original?
alina1380 [7]

Answer:

In real life, a scale copy is often smaller than the original figure.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The equation ( ) has no solution.
trasher [3.6K]

Answer:

i dont see the equation

Step-by-step explanation:

sorry

6 0
3 years ago
Read 2 more answers
In art class tico is copying a detail from a painting
Triss [41]
An apple
a pear
a bannana

7 0
3 years ago
Read 2 more answers
Reflect (2.5,4.5) in the x-axis.
lawyer [7]
You can’t .................
5 0
3 years ago
How would you write 20% as a fraction
givi [52]
For 20% out of 100% it would be 1/5 as you need 5 20s for 100
6 0
3 years ago
Read 2 more answers
Other questions:
  • When solving a literal equation, what is the trick for isolating a variable that appears more than once?
    14·2 answers
  • What are the vertical and horizontal asymptotes for the function f(x)= 3x^2 over x^2 - 4
    5·1 answer
  • Choose the best answer *<br><br> Captionless Image<br> a<br> b<br> c<br> d
    9·1 answer
  • Solve for h<br> Give an exact answer.<br> 3h=7( 2/7− 3/7 h)−10
    14·1 answer
  • Pilar and Ravi start at opposite ends of a 55-mile bike trail. They start riding their bikes toward each other at the same time.
    9·1 answer
  • What is the value of x (x+35) (3x+1)
    13·1 answer
  • 23,461 rounded to the nearest hundred
    12·2 answers
  • Please help me on this its the last question i will mark brainliest
    8·2 answers
  • PLS SOLVE WITH EXPLANATION
    12·2 answers
  • Prove that the natural number x is prime if and only if x&gt;1 and there is no positive integer greater than 1 and less than or
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!