math

can someone correct this for me...
solve:
-4(2x - 3) = -8x + 5

my answer:
this equation has no solution because they don't equal

i get 0=-7

-4(2x-3)=-8x+5

-8x+12=-8x+5

0(x)=-7

So am I correct

You are right, let me explain a bit more.

When you write down:

-4(2x - 3) = -8x + 5

you actually say: Suppose there exists an x such that
-4(2x - 3) equals -8x + 5

Then, assuming this is true, you attempt to find, using some manipulations ,the value of x. If you find a value for x, then you should still check if the equation is satisfied, although this last step is often skipped.

But in this case you find a contradictory statement:

0 = -7

This statement is false, which means that the orginal assumption that there exists an x such that
-4(2x - 3) equals -8x + 5
must be false.

To see this let's take statement A to be: "There exists an x such that
-4(2x - 3) equals -8x + 5"

And let's take statement B to be:
"0 = -7". Let's forget for a minute that statement B is obviously false.

Using Algebra you have shown that if A is true then B must be true. In such a case you can also conclude that if B is not true, then A must be false. So, if you know B to be false, then you know that A must be false because if A were true then B must be true which you know isn't the case.

  1. 👍 0
  2. 👎 0
  3. 👁 334
  1. Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.

    Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.
    Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.

    Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.

    Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.
    Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.
    Is the following statement true or false? Justify your answer using what you know about diameters and chords.

    Every diameter of a circle is a chord.

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc

    Consider the following. cos(x) + sqrt(y)= 1 (a) Find y' by implicit differentiation. y' = 2y^(1/2) sin(x) Correct: Your answer is correct. (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ?

    asked by Anonymous on May 11, 2018
  2. Calculus

    Consider the following. cos(x) + sqrt(y)= 1 (a) Find y' by implicit differentiation. y' = Correct: Your answer is correct. (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ? (c) Check that

    asked by Anonymous on May 11, 2018
  3. business math

    Of the 4800 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play collegiate lacrosse, and 96 play collegiate football. Only 6 students play both collegiate soccer and lacrosse, 6 play collegiate soccer and

    asked by liz c on November 14, 2010
  4. Math Inequalities

    -9/8x greater than or equal to -1/16 can someone please check my answer? my answer is x greather than or equal to 1/18 is this correct? if not what is the correct answer and what is the correct way to solve this problem..maybe I

    asked by Anna on November 5, 2009
  1. MATH/CHEM PLEASE HELP!

    Give the answer to the following calculation with the correct number of significant digits. Report your answer in scientific notation. (6.17 x 10-1 + 4.9 x 10-2) x (3.95 x 10-2 + 6.454 x 10-3) i know how to solve for the answer, i

    asked by Jade on September 13, 2007
  2. calculus

    How do I solve for this 2 π ∫ from 1 to 3 (y (1-(y-2^2)dy) the answer is 16π/3 This is what I have try but couldn't get to the answer 2 π ∫ (y (1-((y-2)(y-2))dy ) 2 π ∫ (y (1-(y^2-4y+4))dy ) 2 π ∫ (y (1-y^2+4y-4)dy )

    asked by Anonymous on December 9, 2018
  3. CHEM**

    I just have 2 other questions that I just want to make sure on: Place the following elements in order of decreasing atomic size: tellurium, bromine, argon, cesium, strontium, and selenium. (Te, Br, Ar, Cs, Sr, Se) ~~(or...the

    asked by K on November 13, 2007
  4. drbob222 math,correction

    i made some corrections for the previous postage can you check those when you get a chance please. Also for this one: my options of answers are: A)2y + 6/3 B)3x- 6 /2 C)2 + 2y D)2/3y + 6 Directions: Solve for x: 3x - 2y =6 3x - 2y

    asked by jasmine20 on January 11, 2007
  1. math,correction

    is this correct: solve by using the quadratic formula 5x^2+x=3 what i keep getting is this: (-1 +/- sqrt 61)/(10) or should i reduce the denominator to 5 or is my whole answer incorrect? (-1 +/- sqrt 61)/(10) looks correct. You do

    asked by jasmine20 on April 19, 2007
  2. algebra

    1)Simplify:(6x^3-16x^2+11x-5)/(3x-2) answer= 2x^2-4x+1-3over3x-2 2)Factor 27x^3-1 completley. answer= (3x-1)^3 if this isnt correct,im not sure how to solve it b/c this makes the most sense to me. 3)Simplify: x^2-3x-28 over

    asked by erin on August 2, 2007
  3. algebra

    I have a few problems I need you to take a look at and tell me if I arrived at the right answer. 1. I am to use the intercepts to graph the equation x+3y=6 I used the formula y=mx+b using 3 and -6 for x I got these as my ordered

    asked by shane on January 7, 2010
  4. Math - Please Check My Answers

    Please help me by checking the following answers for me(There are 3 problems that I need someone to check). 3. A student is attempting to solve the equation below for the variable x. Which of the statements below best applies to

    asked by Brady on April 8, 2014

You can view more similar questions or ask a new question.