QuestionSolve the linear equation: $4t + 7 = 4(t + 4) - 16$ .

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation in one variable, t. . The equation is in the form of $4t +7 =4(t +4) -16$ .

STEP 2

We start by simplifying the equation. First, distribute the4 on the right side of the equation to both terms inside the parentheses.
$4t +7 =4t +16 -16$

STEP 3

implify the right side of the equation.
$t +7 =t$

STEP 4

Now, subtract $4t$ from both sides of the equation to isolate the variable $t$ on one side.
$4t -4t +7 =4t -4t$

STEP 5

implify the equation.
$7 =0$

STEP 6

The equation $=0$ is a contradiction. This means that the original equation has no solution.
The solution is that the equation has no solution.

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QuestionSolve the linear equation: $4t + 7 = 4(t + 4) - 16$ .

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation in one variable, t. . The equation is in the form of $4t +7 =4(t +4) -16$ .

STEP 2

We start by simplifying the equation. First, distribute the4 on the right side of the equation to both terms inside the parentheses.
$4t +7 =4t +16 -16$

STEP 3

implify the right side of the equation.
$t +7 =t$

STEP 4

Now, subtract $4t$ from both sides of the equation to isolate the variable $t$ on one side.
$4t -4t +7 =4t -4t$

STEP 5

implify the equation.
$7 =0$

STEP 6

The equation $=0$ is a contradiction. This means that the original equation has no solution.
The solution is that the equation has no solution.

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QuestionSolve the linear equation: 4t+7=4(t+4)−164t + 7 = 4(t + 4) - 164t+7=4(t+4)−16.

Studdy Solution

STEP 1

Assumptions1. The equation is a linear equation in one variable, t. . The equation is in the form of 4t+7=4(t+4)−164t +7 =4(t +4) -164t+7=4(t+4)−16.

STEP 2

We start by simplifying the equation. First, distribute the4 on the right side of the equation to both terms inside the parentheses.4t+7=4t+16−164t +7 =4t +16 -164t+7=4t+16−16

STEP 3

implify the right side of the equation.t+7=tt +7 =tt+7=t

STEP 4

Now, subtract 4t4t4t from both sides of the equation to isolate the variable ttt on one side.4t−4t+7=4t−4t4t -4t +7 =4t -4t4t−4t+7=4t−4t

STEP 5

implify the equation.7=07 =07=0

STEP 6

The equation =0 =0=0 is a contradiction. This means that the original equation has no solution.The solution is that the equation has no solution.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the linear equation: $4t + 7 = 4(t + 4) - 16$ .

Assumptions1. The equation is a linear equation in one variable, t. . The equation is in the form of $4t +7 =4(t +4) -16$ .

We start by simplifying the equation. First, distribute the4 on the right side of the equation to both terms inside the parentheses.
$4t +7 =4t +16 -16$

implify the right side of the equation.
$t +7 =t$

Now, subtract $4t$ from both sides of the equation to isolate the variable $t$ on one side.
$4t -4t +7 =4t -4t$

implify the equation.
$7 =0$

The equation $=0$ is a contradiction. This means that the original equation has no solution.
The solution is that the equation has no solution.