QuestionIdentify and fix the mistake in solving the equation: $-\frac{m}{3}=-4$ leading to $m=-12$ .

Studdy Solution

STEP 1

Assumptions1. The original equation is $-\frac{m}{3}=-4$ . The multiplication operation in the second step is intended to isolate the variable $m$ on one side of the equation.

STEP 2

The error in the solution lies in the second step. The multiplication operation is not applied correctly. When multiplying both sides of the equation by, the correct operation should be to multiply with $-\frac{m}{}$ , not $-\frac{m}{}$ with.

STEP 3

Let's correct the error. The correct operation should be $3 \cdot \left(-\frac{m}{3}\right) =3 \cdot (-)$

STEP 4

implify the left side of the equation by multiplying3 with $-\frac{m}{3}$ .
$-m =3 \cdot (-4)$

STEP 5

implify the right side of the equation by multiplying3 with -4.
$-m = -12$

STEP 6

The solution $m=-12$ is incorrect because the sign of $m$ is negative in the equation $-m = -12$ . To get the correct value of $m$ , we need to multiply both sides of the equation by -1.
$-1 \cdot (-m) = -1 \cdot (-12)$

STEP 7

implify both sides of the equation.
$m =12$ So, the correct solution to the equation $-\frac{m}{3}=-4$ is $m =12$ .

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QuestionIdentify and fix the mistake in solving the equation: $-\frac{m}{3}=-4$ leading to $m=-12$ .

Studdy Solution

STEP 1

Assumptions1. The original equation is $-\frac{m}{3}=-4$ . The multiplication operation in the second step is intended to isolate the variable $m$ on one side of the equation.

STEP 2

The error in the solution lies in the second step. The multiplication operation is not applied correctly. When multiplying both sides of the equation by, the correct operation should be to multiply with $-\frac{m}{}$ , not $-\frac{m}{}$ with.

STEP 3

Let's correct the error. The correct operation should be $3 \cdot \left(-\frac{m}{3}\right) =3 \cdot (-)$

STEP 4

implify the left side of the equation by multiplying3 with $-\frac{m}{3}$ .
$-m =3 \cdot (-4)$

STEP 5

implify the right side of the equation by multiplying3 with -4.
$-m = -12$

STEP 6

The solution $m=-12$ is incorrect because the sign of $m$ is negative in the equation $-m = -12$ . To get the correct value of $m$ , we need to multiply both sides of the equation by -1.
$-1 \cdot (-m) = -1 \cdot (-12)$

STEP 7

implify both sides of the equation.
$m =12$ So, the correct solution to the equation $-\frac{m}{3}=-4$ is $m =12$ .

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QuestionIdentify and fix the mistake in solving the equation: −m3=−4-\frac{m}{3}=-4−3m​=−4 leading to m=−12m=-12m=−12.

Studdy Solution

STEP 1

Assumptions1. The original equation is −m3=−4-\frac{m}{3}=-4−3m​=−4 . The multiplication operation in the second step is intended to isolate the variable mmm on one side of the equation.

STEP 2

The error in the solution lies in the second step. The multiplication operation is not applied correctly. When multiplying both sides of the equation by, the correct operation should be to multiply with −m-\frac{m}{}−m​, not −m-\frac{m}{}−m​ with.

STEP 3

Let's correct the error. The correct operation should be3⋅(−m3)=3⋅(−)3 \cdot \left(-\frac{m}{3}\right) =3 \cdot (-)3⋅(−3m​)=3⋅(−)

STEP 4

implify the left side of the equation by multiplying3 with −m3-\frac{m}{3}−3m​.−m=3⋅(−4)-m =3 \cdot (-4)−m=3⋅(−4)

STEP 5

implify the right side of the equation by multiplying3 with -4.−m=−12-m = -12−m=−12

STEP 6

STEP 7

implify both sides of the equation.m=12m =12m=12So, the correct solution to the equation −m3=−4-\frac{m}{3}=-4−3m​=−4 is m=12m =12m=12.

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QuestionIdentify and fix the mistake in solving the equation: $-\frac{m}{3}=-4$ leading to $m=-12$ .

Assumptions1. The original equation is $-\frac{m}{3}=-4$ . The multiplication operation in the second step is intended to isolate the variable $m$ on one side of the equation.

The error in the solution lies in the second step. The multiplication operation is not applied correctly. When multiplying both sides of the equation by, the correct operation should be to multiply with $-\frac{m}{}$ , not $-\frac{m}{}$ with.

Let's correct the error. The correct operation should be $3 \cdot \left(-\frac{m}{3}\right) =3 \cdot (-)$

implify the left side of the equation by multiplying3 with $-\frac{m}{3}$ .
$-m =3 \cdot (-4)$

implify the right side of the equation by multiplying3 with -4.
$-m = -12$

implify both sides of the equation.
$m =12$ So, the correct solution to the equation $-\frac{m}{3}=-4$ is $m =12$ .