Math

Please observe the solution for the following two problems :

(a) 2x + 18 = x + 25
(b) 3x + 5 = 7x - 15

(a)

2x + 18 = x + 25
2x - x = 25 - 18. -------- (1)
x = 7

(b)

3x + 5 = 7x - 15
7x - 3x = 15 + 5 ---------- (2)
4x = 20
x = 5

Explain the rules involved in transposing -

In (1)
Can 2x - x = 25 - 18
be expressed as
x - 2x = 18 - 25

In (2)
Can 7x - 3x = 15 + 5
be expressed as
3x - 7x = 15 - 5

If yes - why ?
If no - why not ?

Hope I have framed my question properly. I'm confused with transposing.

  1. 👍 0
  2. 👎 0
  3. 👁 120
asked by Learn
  1. 1. yes ... it is the result of multiplying the equation by -1

    2. no ... the left side can come from multiplication by -1
    BUT ... changing a single sign in the right side polynomial is not a legitimate operation

    1. 👍 0
    2. 👎 0
    posted by R_scott
  2. Can 7x - 3x = 15 + 5
    be expressed as
    3x - 7x = 15 - 5


    NO !!!!!!!!!!!!!!!!!!!!
    7x - 3x = 15 + 5
    multiply both sides of the equation by -1
    -1(7x-3x) = -1(15+5)
    3x - 7x = -15 - 5 *****note -15 not +15

    1. 👍 0
    2. 👎 0
    posted by Damon
  3. In (1)
    Can 2x - x = 25 - 18
    be expressed as
    x - 2x = 18 - 25
    ===========================
    multiply both sides by -1 again
    -2x +x = -25 + 18
    sure, fine

    1. 👍 0
    2. 👎 0
    posted by Damon
  4. Thanks a lot all of you.

    1. 👍 0
    2. 👎 0
    posted by Learn

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chemistry

    I've a solution 0.002M of Pb(NO3)2: What is the minimum concentration of iodide ions (I-) necessary to observe the precipitation of PbI2? What mass of KI should be added to observe the precipitation of PbI2 from the 25 mL volume

    asked by sauro on January 19, 2019
  2. Chemistry

    If you add Na2CO3 and AgNO3 together in a test tube what exactly would you observe and what would be the equation for the equilibrium system? If you then add HNO3 to the solution what exactly would you observe and what would be

    asked by Sylvia on June 20, 2009
  3. Chemistry

    Given one of the following solution: 50.00mL of 0.10M of K2CrO4 answer the following. 1. How do you prepare the solution? 2. What volume (mL) of your solution contains 5.00X10(-4) moles of the solute? 3. What volume of your

    asked by Sue on October 17, 2010
  4. chemistry

    I am doing a home lab experiment about acid-base neutralization. I just need a little help to see if I am doing it correctly. I completed the experiment and recorded the data. We were to add 25 ml of vinegar and the 1 ml of

    asked by Lynn on March 6, 2010
  5. proofread

    Hi, can someone proofread this for me. I'll appreciate it. Thanks in advance. The practicum site I selected is an elementary school. I will be assisting a first grade teacher during the semester. I will be helping her with her

    asked by Bizzy on February 3, 2008
  6. Chemistry

    1.) Explain the similarity between Mg(OH)2 and Zn(OH)2 in particular why would any insoluble hydroxide tend to dissolve in an acidic solution? Are they both bases? 2.) Explain the difference in particular how does Mg^+2 appear to

    asked by Gina on March 20, 2015
  7. Chemistry

    A solution is made by dissolving 32g KCIO3 in 100g H20 at 80C. The solution is cooled to 10C. Describe what you would observe as it cooled and state what temperature this first occurs at. What mass of crystals would settle out of

    asked by Naomi on June 18, 2016
  8. analaytical chemistry

    a student mixes equal volume of 1 molar tin chloride and coper sulfate and observe tha no preciptate forms .then the students mxis equal volume of 1molar solution of zinc sulfate and tin floride and observe the formation of

    asked by Gebru on June 13, 2016
  9. Chemistry Acid/bases

    The concentration of H2SO4 in a solution is 3.20 10-6 M. Assume the acid dissociates completely in solution. What is the [H3O+] in the solution? What is the [OH-] in the solution? What is the pH of the solution? What is the pOH of

    asked by Spencer on February 10, 2009
  10. Grammar

    Circle the nouns that can be used with the verbs on the right . Engine-consumption-dependence (reduce) Answer : consumption and dependence Solution-dependence-alternative (find) Answer:solution and dependence

    asked by Maryam on June 6, 2013

More Similar Questions