Mathematics: Chelsea shows her work in finding the solution to 4x−5=2+3(x−3) 4 x 5 2 3 ( x 3 ) . after checking her answer in the original equation, she found that it did not work. where did she make a mistake?

Chelsea shows her work in finding the solution to

Ответ:

nessaty13

10.03.2022

Mathematics

The mistake made by Chelsea was that she forgot to multiply the numbers in the bracket.

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Further explanation

Order of Operations in Mathematics follow this following rule :

ParenthesesExponentsMultiplication and DivisionAddition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

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Chelsea's Working:

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

4x - 5 = 2 + 3x - 3

4x - 3x = 5 + 2 - 3

x = 4

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The mistake made by Chelsea was that she forgot to multiply the numbers in the bracket.

It should be done as follows:

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

4x - 5 = 2 + 3x - 9

4x - 3x = 5 + 2 - 9

$\boxed{x = -2}$

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Proof:

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

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

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

-13 = 2 + 3(-5)

-13 = 2 - 15

-13 = -13

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Learn moreInfinite Number of Solutions : System of Equations : System of Linear equations : Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

Chelsea shows her work in finding the solution to 4x−5=2+3(x−3) 4 x 5 2 3 ( x 3 ) . after checking h

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Chelsea shows her work in finding the solution to 4x−5=2+3(x−3) 4 x 5 2 3 ( x 3 ) . after checking her answer in the original equation, she found that it did not work. where did she make a mistake?

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