QuestionSolve the equation: $7 \cdot \frac{-3}{5} + \frac{-3}{5} = 0$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $7 \cdot \frac{-3}{5}+\frac{-3}{5}=0$ . . We are to solve this equation for the unknown variable.

STEP 2

First, we simplify the equation by performing the multiplication operation.
$7 \cdot \frac{-}{5} = \frac{-21}{5}$ So, the equation becomes $\frac{-21}{5} + \frac{-}{5} =0$

STEP 3

Next, we add the two fractions on the left side of the equation. Since they have the same denominator, we can simply add the numerators.
$\frac{-21 -3}{5} =0$

STEP 4

implify the numerator of the fraction on the left side of the equation.
$\frac{-24}{} =0$

STEP 5

Finally, to solve for the unknown, we multiply both sides of the equation by5.
$-24 =0 \times5$

STEP 6

implify the right side of the equation.
$-24 =0$ This is a contradiction, which means the original equation has no solution.

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QuestionSolve the equation: $7 \cdot \frac{-3}{5} + \frac{-3}{5} = 0$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $7 \cdot \frac{-3}{5}+\frac{-3}{5}=0$ . . We are to solve this equation for the unknown variable.

STEP 2

First, we simplify the equation by performing the multiplication operation.
$7 \cdot \frac{-}{5} = \frac{-21}{5}$ So, the equation becomes $\frac{-21}{5} + \frac{-}{5} =0$

STEP 3

Next, we add the two fractions on the left side of the equation. Since they have the same denominator, we can simply add the numerators.
$\frac{-21 -3}{5} =0$

STEP 4

implify the numerator of the fraction on the left side of the equation.
$\frac{-24}{} =0$

STEP 5

Finally, to solve for the unknown, we multiply both sides of the equation by5.
$-24 =0 \times5$

STEP 6

implify the right side of the equation.
$-24 =0$ This is a contradiction, which means the original equation has no solution.

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QuestionSolve the equation: 7⋅−35+−35=07 \cdot \frac{-3}{5} + \frac{-3}{5} = 07⋅5−3​+5−3​=0.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 7⋅−35+−35=07 \cdot \frac{-3}{5}+\frac{-3}{5}=07⋅5−3​+5−3​=0. . We are to solve this equation for the unknown variable.

STEP 2

First, we simplify the equation by performing the multiplication operation.7⋅−5=−2157 \cdot \frac{-}{5} = \frac{-21}{5}7⋅5−​=5−21​So, the equation becomes−215+−5=0\frac{-21}{5} + \frac{-}{5} =05−21​+5−​=0

STEP 3

Next, we add the two fractions on the left side of the equation. Since they have the same denominator, we can simply add the numerators.−21−35=0\frac{-21 -3}{5} =05−21−3​=0

STEP 4

implify the numerator of the fraction on the left side of the equation.−24=0\frac{-24}{} =0−24​=0

STEP 5

Finally, to solve for the unknown, we multiply both sides of the equation by5.−24=0×5-24 =0 \times5−24=0×5

STEP 6

implify the right side of the equation.−24=0-24 =0−24=0This is a contradiction, which means the original equation has no solution.

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QuestionSolve the equation: $7 \cdot \frac{-3}{5} + \frac{-3}{5} = 0$ .

Assumptions1. We are given the equation $7 \cdot \frac{-3}{5}+\frac{-3}{5}=0$ . . We are to solve this equation for the unknown variable.

First, we simplify the equation by performing the multiplication operation.
$7 \cdot \frac{-}{5} = \frac{-21}{5}$ So, the equation becomes $\frac{-21}{5} + \frac{-}{5} =0$

Next, we add the two fractions on the left side of the equation. Since they have the same denominator, we can simply add the numerators.
$\frac{-21 -3}{5} =0$

implify the numerator of the fraction on the left side of the equation.
$\frac{-24}{} =0$

Finally, to solve for the unknown, we multiply both sides of the equation by5.
$-24 =0 \times5$

implify the right side of the equation.
$-24 =0$ This is a contradiction, which means the original equation has no solution.