Question Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $-6.8 - \frac{c}{1.2} = -2.9$ .
2. We need to solve for the variable $c$ .

STEP 2

First, we want to isolate the term containing the variable $c$ on one side of the equation. To do this, we will add $6.8$ to both sides of the equation to cancel the $-6.8$ on the left side.
$-6.8 - \frac{c}{1.2} + 6.8 = -2.9 + 6.8$

STEP 3

Perform the addition on both sides of the equation.
$- \frac{c}{1.2} = -2.9 + 6.8$

STEP 4

Calculate the sum on the right side of the equation.
$- \frac{c}{1.2} = 3.9$

STEP 5

Now, to solve for $c$ , we need to get rid of the denominator $1.2$ that is with $c$ . We can do this by multiplying both sides of the equation by $1.2$ .
$1.2 \times - \frac{c}{1.2} = 3.9 \times 1.2$

STEP 6

On the left side, the $1.2$ in the numerator and the denominator will cancel out, leaving us with $-c$ .
$-c = 3.9 \times 1.2$

STEP 7

Now, calculate the product on the right side of the equation.
$-c = 4.68$

STEP 8

We have $-c = 4.68$ , but we want to find the value of $c$ . To do this, we will multiply both sides of the equation by $-1$ to make $c$ positive.
$-1 \times -c = 4.68 \times -1$

STEP 9

Calculate the product on both sides of the equation.
$c = -4.68$
The solution to the equation $-6.8 - \frac{c}{1.2} = -2.9$ is $c = -4.68$ .

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Question Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $-6.8 - \frac{c}{1.2} = -2.9$ .
2. We need to solve for the variable $c$ .

STEP 2

First, we want to isolate the term containing the variable $c$ on one side of the equation. To do this, we will add $6.8$ to both sides of the equation to cancel the $-6.8$ on the left side.
$-6.8 - \frac{c}{1.2} + 6.8 = -2.9 + 6.8$

STEP 3

Perform the addition on both sides of the equation.
$- \frac{c}{1.2} = -2.9 + 6.8$

STEP 4

Calculate the sum on the right side of the equation.
$- \frac{c}{1.2} = 3.9$

STEP 5

Now, to solve for $c$ , we need to get rid of the denominator $1.2$ that is with $c$ . We can do this by multiplying both sides of the equation by $1.2$ .
$1.2 \times - \frac{c}{1.2} = 3.9 \times 1.2$

STEP 6

On the left side, the $1.2$ in the numerator and the denominator will cancel out, leaving us with $-c$ .
$-c = 3.9 \times 1.2$

STEP 7

Now, calculate the product on the right side of the equation.
$-c = 4.68$

STEP 8

We have $-c = 4.68$ , but we want to find the value of $c$ . To do this, we will multiply both sides of the equation by $-1$ to make $c$ positive.
$-1 \times -c = 4.68 \times -1$

STEP 9

Calculate the product on both sides of the equation.
$c = -4.68$
The solution to the equation $-6.8 - \frac{c}{1.2} = -2.9$ is $c = -4.68$ .

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Question Solve for ccc in the equation −6.8−c1.2=−2.9-6.8-\frac{c}{1.2}=-2.9−6.8−1.2c​=−2.9.

Studdy Solution

STEP 1

Assumptions1. We are given the equation −6.8−c1.2=−2.9-6.8 - \frac{c}{1.2} = -2.9−6.8−1.2c​=−2.9.2. We need to solve for the variable ccc.

STEP 2

STEP 3

Perform the addition on both sides of the equation.−c1.2=−2.9+6.8- \frac{c}{1.2} = -2.9 + 6.8−1.2c​=−2.9+6.8

STEP 4

Calculate the sum on the right side of the equation.−c1.2=3.9- \frac{c}{1.2} = 3.9−1.2c​=3.9

STEP 5

Now, to solve for ccc, we need to get rid of the denominator 1.21.21.2 that is with ccc. We can do this by multiplying both sides of the equation by 1.21.21.2.1.2×−c1.2=3.9×1.21.2 \times - \frac{c}{1.2} = 3.9 \times 1.21.2×−1.2c​=3.9×1.2

STEP 6

On the left side, the 1.21.21.2 in the numerator and the denominator will cancel out, leaving us with −c-c−c.−c=3.9×1.2-c = 3.9 \times 1.2−c=3.9×1.2

STEP 7

Now, calculate the product on the right side of the equation.−c=4.68-c = 4.68−c=4.68

STEP 8

We have −c=4.68-c = 4.68−c=4.68, but we want to find the value of ccc. To do this, we will multiply both sides of the equation by −1-1−1 to make ccc positive.−1×−c=4.68×−1-1 \times -c = 4.68 \times -1−1×−c=4.68×−1

STEP 9

Calculate the product on both sides of the equation.c=−4.68c = -4.68c=−4.68The solution to the equation −6.8−c1.2=−2.9-6.8 - \frac{c}{1.2} = -2.9−6.8−1.2c​=−2.9 is c=−4.68c = -4.68c=−4.68.

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Question Solve for $c$ in the equation $-6.8-\frac{c}{1.2}=-2.9$ .

Assumptions
1. We are given the equation $-6.8 - \frac{c}{1.2} = -2.9$ .
2. We need to solve for the variable $c$ .

Perform the addition on both sides of the equation.
$- \frac{c}{1.2} = -2.9 + 6.8$

Calculate the sum on the right side of the equation.
$- \frac{c}{1.2} = 3.9$

Now, to solve for $c$ , we need to get rid of the denominator $1.2$ that is with $c$ . We can do this by multiplying both sides of the equation by $1.2$ .
$1.2 \times - \frac{c}{1.2} = 3.9 \times 1.2$

On the left side, the $1.2$ in the numerator and the denominator will cancel out, leaving us with $-c$ .
$-c = 3.9 \times 1.2$

Now, calculate the product on the right side of the equation.
$-c = 4.68$

We have $-c = 4.68$ , but we want to find the value of $c$ . To do this, we will multiply both sides of the equation by $-1$ to make $c$ positive.
$-1 \times -c = 4.68 \times -1$

Calculate the product on both sides of the equation.
$c = -4.68$
The solution to the equation $-6.8 - \frac{c}{1.2} = -2.9$ is $c = -4.68$ .