Question Solve the linear equation $-5=\frac{3}{4} \cdot(-4)-3$ for the unknown variable.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $-5=\frac{3}{4} \cdot(-4)-3$ . We are solving for the variable on the right side of the equation

STEP 2

First, we need to simplify the right side of the equation. We can do this by multiplying $\frac{}{4}$ by $-4$ .
$\frac{}{4} \cdot(-4)$

STEP 3

Calculate the result of the multiplication.
$\frac{3}{} \cdot(-) = -3$

STEP 4

Now, substitute the result of the multiplication back into the equation.
$- = -3 -3$

STEP 5

implify the right side of the equation by doing the subtraction.
$-5 = -$

STEP 6

Now, we can see that the left side of the equation does not equal the right side of the equation. This means that the original equation has no solution.
The equation $-5=\frac{3}{4} \cdot(-4)-3$ has no solution.

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Question Solve the linear equation $-5=\frac{3}{4} \cdot(-4)-3$ for the unknown variable.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $-5=\frac{3}{4} \cdot(-4)-3$ . We are solving for the variable on the right side of the equation

STEP 2

First, we need to simplify the right side of the equation. We can do this by multiplying $\frac{}{4}$ by $-4$ .
$\frac{}{4} \cdot(-4)$

STEP 3

Calculate the result of the multiplication.
$\frac{3}{} \cdot(-) = -3$

STEP 4

Now, substitute the result of the multiplication back into the equation.
$- = -3 -3$

STEP 5

implify the right side of the equation by doing the subtraction.
$-5 = -$

STEP 6

Now, we can see that the left side of the equation does not equal the right side of the equation. This means that the original equation has no solution.
The equation $-5=\frac{3}{4} \cdot(-4)-3$ has no solution.

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Question Solve the linear equation −5=34⋅(−4)−3-5=\frac{3}{4} \cdot(-4)-3−5=43​⋅(−4)−3 for the unknown variable.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is −5=34⋅(−4)−3-5=\frac{3}{4} \cdot(-4)-3−5=43​⋅(−4)−3 . We are solving for the variable on the right side of the equation

STEP 2

First, we need to simplify the right side of the equation. We can do this by multiplying 4\frac{}{4}4​ by −4-4−4.4⋅(−4)\frac{}{4} \cdot(-4)4​⋅(−4)

STEP 3

Calculate the result of the multiplication.3⋅(−)=−3\frac{3}{} \cdot(-) = -33​⋅(−)=−3

STEP 4

Now, substitute the result of the multiplication back into the equation.−=−3−3- = -3 -3−=−3−3

STEP 5

implify the right side of the equation by doing the subtraction.−5=−-5 = -−5=−

STEP 6

Now, we can see that the left side of the equation does not equal the right side of the equation. This means that the original equation has no solution.The equation −5=34⋅(−4)−3-5=\frac{3}{4} \cdot(-4)-3−5=43​⋅(−4)−3 has no solution.

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Question Solve the linear equation $-5=\frac{3}{4} \cdot(-4)-3$ for the unknown variable.

Assumptions1. The equation to solve is $-5=\frac{3}{4} \cdot(-4)-3$ . We are solving for the variable on the right side of the equation

First, we need to simplify the right side of the equation. We can do this by multiplying $\frac{}{4}$ by $-4$ .
$\frac{}{4} \cdot(-4)$

Calculate the result of the multiplication.
$\frac{3}{} \cdot(-) = -3$

Now, substitute the result of the multiplication back into the equation.
$- = -3 -3$

implify the right side of the equation by doing the subtraction.
$-5 = -$

Now, we can see that the left side of the equation does not equal the right side of the equation. This means that the original equation has no solution.
The equation $-5=\frac{3}{4} \cdot(-4)-3$ has no solution.