Algebra SOLVING LINEAR EQUATIONS AND INEQUALITIES

Please help Im am Grade 5 and my teacher is letting me do this.

1. Solve the solution by using elimination and substitution

3/x - 2/y = 14
6/x + 3/y = 7

2. Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation

x + y + 5z =2 (1)
4x - 3y + 5z =3 (2)
3x - 2y + 5z=1 (3)

the solution set for this should be {(7,5-2)}

Please I really need your help
teach me how do this


asked by Clyde
  1. #1 you can solve for 1/x and 1/y in the usual ways:

    elimination: double the 1st and subtract
    6/x - 4/y = 28
    6/x + 3/y = 7
    -------------------
    7/y = -21
    1/y = -3
    then, 1/x = 8/3
    or, y = -1/3 and x = 3/8

    using substitution,
    3/x = 14+2/y
    2(14+2/y) + 3/y = 7
    28 + 4/y + 3/y = 7
    7/y = -21
    1/y = -3
    as above

    For elimination, you can enter your coefficients at

    http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

    and see all the details.

    posted by Steve

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Algebra

    Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x - 3y + 5z =3 (2) 3x - 2y + 5z=1 (3) my teacher gave me the answer
  2. Algebra I DONT KNOW HOW TO DO 3 VARIABLES

    Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x - 3y + 5z =3 (2) 3x - 2y + 5z=1 (3) my teacher gave me the answer
  3. algebra 1

    Got a test tomorrow... Say you have a system of equations (linear), that you can solve using substitution, graphing, or elimination. Without solving the equations, can you tell if there is one solution, many solutions, or no
  4. algebra

    i need help with these problems (either a solution or how to plug them into a graphing calculator): 1) Solve by substitution or elimination 4/x + 1/y + 2/z = 4 2/x + 3/y - 1/z = 1 1/x + 1/y + 1/z = 4 2)Solve the system of
  5. Algebra

    Solving system of linear equations by using the apropiate method name the method and the x,y coordinates 1)X=4y+8 2x-8y=-3 2)3x-7y=6 elimination method 2x+7y=4 (2,0) 3)5x-2y=12 elimination method 3x-2y=-2 (7,23/2) 4)9x-8y=42
  6. College Algebra

    A pharmacist wants to mix two solutions to obtain 100 cc of a solution that has an 8% concentration of a certain medicine. If one solution has a 10% concentration of the medicine and the second has a 5% concentration, how much od
  7. Algebra PLEASE HELP!!

    What advantages does the method of substitution have over graphing for solving systems of equations? Choose the correct answer below. A. Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the
  8. Algebra - solving linear equations w/ substitution

    The question in the book reads: "Suppose you try to solve a system of linear equations using substitution and get this result. How many solutions does each system have?" 1)x=-2 2)y=12 3)6=x 4)-8=-8 5)7=y 6)5=3 I understand #3 and
  9. algebra-math

    Create a system of linear equations. Explain the steps for solving a system of linear inequalities. Make a system of linear inequalities problem. Please help me with this?
  10. Algebra

    Solving Linear Equations - Elimination Write whether each of these systems of equations has a common solution or not. Explain y = -x + 2 Y = 2x + 1 If you show me one and explain it, then I can probably do the rest...Thanks

More Similar Questions