Math

2021-09-28

 

 Describe the error in solving the equation for x.

  • In the third step, the left side was not divided by −2−2 correctly.

  • In the third step, the negative sign was not distributed to both terms in parentheses.

  • The equation is not solved for xx because there is still a term with xx on both sides.

  • The equation cannot be solved for xx because the terms with xx cancel out on each side.

 

Question 2

Correct the error.

x=

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Expert Answer

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Answered 2021-10-20 Author has 2505 answers

\(12−2x=−2(y−x)\)

Simplify \(−2(y−x)-2(y-x).\)

Rewrite.

\(12−2x=0+0−2(y−x)\)

Simplify by adding zeros.

\(12−2x=−2(y−x)\)

Apply the distributive property.

\(12−2x=−2y−2(−x)\)

Multiply \(−1\) by \(−2\).

\(12−2x=−2y+2x\)

Move all terms containing x to the left side of the equation.

Subtract \(2x\) from both sides of the equation.

\(12−2x−2x=−2y\)

Subtract 2x from −2x.

\(12−4x=−2y\)

Subtract \(12\) from both sides of the equation.

\(−4x=−2y−12\)

Divide each term in \(-4x=-2y-12\) by \(-4\) and simplify.

\(\frac{-4x}{4}=\frac{-2y}{-4}+\frac{-12}{-4}\)

Simplify the left side.

\(x=\frac{-2y}{-4}+\frac{-12}{-4}\)

Simplify the right side.

\(x=\frac{y}{2}+3\)

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