Elimination method

Solve system of linear equations by elimination method:

5/2x + 3/5y= 4/15
1/2x + 2/5y= 2/15

Correct answer:

x =  0.0381
y =  0.2857

Step-by-step explanation:


5/2•x + 3/5•y= 4/15
1/2•x + 2/5•y= 2/15

75x+18y = 8
15x+12y = 4

x = 4/105 ≈ 0.038095
y = 2/7 ≈ 0.285714

Our linear equations calculator calculates it.



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Equations
    p1110617 Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
  • Inverse matrix
    inverse Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3]
  • Two equations
    children Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
  • Median or middle
    Median2 The number of hours of television watched per day by a sample of 28 people is given below: 4, 1, 5, 5, 2, 5, 4, 4, 2, 3, 6, 8, 3, 5, 2, 0, 3, 5, 9, 4, 5, 2, 1, 3, 4, 7, 2, 9 What is the median value?
  • Linear system
    linear_eq Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2
  • Land cost
    tatrka The land is worth 33295 CZK. 1st owner has 5/15, 2nd owner has 4/15, 3rd owner has 1/5 4th owner has 1/5. How much CZK each of them will receive?
  • Complaints
    statistics The table is given: days complaints 0-4 2 5-9 4 10-14 8 15-19 6 20-24 4 25-29 3 30-34 3 1.1 What percentage of complaints were resolved within 2weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal number of day
  • Quadratic function 2
    parabola1 Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
  • Three unknowns
    matrix Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
  • Sequence 11
    sequence_geo What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5?
  • Watching TV
    tv2 One evening 2/3 students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality tv.
  • Three points 4
    linearna The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form
  • Equations - simple
    linearna Solve system of linear equations: x-2y=6 3x+2y=4
  • Non linear eqs
    q2_non_linear Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
  • Two wine
    wines In 2:1 mix wine solution cost 4.1 USD. In 1:2 mix wine solution cost 4.5 USD. How much cost liter of each wine?
  • Eq2 2
    kardan3rd Solve following equation with quadratic members and rational function: (x2+1)/(x-4) + (x2-1)/(x+3) = 23
  • Three glasses
    skleniceRGB Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the content from the