math

the sum of two numbers is 60. their difference is 6.
construct a system of equations and algebraically find the value of the smaller number.

  1. 👍 0
  2. 👎 0
  3. 👁 79
asked by vivian
  1. aa tysmm
    also vivian is such a pretty name but its rare too

    1. 👍 0
    2. 👎 0
    posted by vivian
  2. a + b = 60

    a - b = 6

    adding equations ... 2 a = 66 (b's cancel)

    solve for a , then find b

    Vivian's technique works
    ... but only in a case like this

    1. 👍 0
    2. 👎 0
    posted by Scott
  3. x + y = 60
    x - y = 6

    x = 60 - y

    60 - y - y = 6
    -2y = -54

    y = 27

    x + 27 = 60
    x = 33

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Dorothy is thinking of two numbers. The sum of the numbers is 40 and the difference is 6. write a system of equations and use elimination method to find the two numbers.

    asked by jade on February 5, 2015
  2. algebra

    The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving a system of equations.

    asked by billy on March 4, 2014
  3. Algebra

    The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving a system of equations.

    asked by KevinJ on February 27, 2014
  4. Math

    "Two numbers have a sum of 15 and a difference of 7. What are the two numbers?" A word problem using system of equations and I'm pretty lost an help?

    asked by Kai on February 25, 2018
  5. geometry

    The perimeter of a rectangle of two numbers. The sum of the numbers is 163, and their difference is 33. Write two equations that would be used to solve the system

    asked by queen on October 23, 2011
  6. Algrebra-Systems of Equations

    Kasey is thinking of 2 munbers. The sum of the two numbers is -18. Their difference is 38. Write a system of equations that can be used to find the numbers.

    asked by Resha on January 19, 2012
  7. Algrebra-Systems of Equations

    Kasey is thinking of 2 munbers. The sum of the two numbers is -18. Their difference is 38. Write a system of equations that can be used to find the numbers.

    asked by Resha on January 19, 2012
  8. algebra

    The sum of two numbers is 82. Their difference is 24. Choose the system of equations that describes this situation. Solve by elimination to find the two numbers.

    asked by Laura on December 21, 2012
  9. College algebra

    system of linear equation The sum of 3 numbers is 14 the largest is 4 times the smallest the sum of the smallest and twice the largest is 18 what are the 3 numbers? show work? A. how many unknowns you have? -how many equations

    asked by YANETH on November 1, 2011
  10. MATH

    system of linear equation The sum of 3 numbers is 14 the largest is 4 times the smallest the sum of the smallest and twice the largest is 18 what are the 3 numbers? show work? A. how many unknowns you have? -how many equations

    asked by YANETH on November 1, 2011

More Similar Questions