Math / Algebra

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Solve for t . $3=-4+t$
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

Studdy Solution

STEP 1

1. The equation $3 = -4 + t$ is asking us to solve for $t$ .
2. This is a simple linear equation with one variable.
3. The goal is to isolate the variable $t$ .

STEP 2

1. Identify the operation affecting $t$ .
2. Isolate the variable $t$ by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

Identify the operation affecting $t$ . In the equation $3 = -4 + t$ , the variable $t$ is being added to $-4$ .

STEP 4

To isolate $t$ , perform the opposite operation. Add $4$ to both sides of the equation to cancel out the $-4$ :
$3 + 4 = -4 + 4 + t$

STEP 5

Simplify both sides of the equation:
$7 = t$

STEP 6

Verify the solution by substituting $t = 7$ back into the original equation:
$3 = -4 + 7$

STEP 7

Simplify the right-hand side:
$3 = 3$
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
$\boxed{7}$

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QuestionScore: 4/5 Penalty: 0.5 off
Question Watch Video Show Example
Solve for t . $3=-4+t$
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

Studdy Solution

STEP 1

1. The equation $3 = -4 + t$ is asking us to solve for $t$ .
2. This is a simple linear equation with one variable.
3. The goal is to isolate the variable $t$ .

STEP 2

1. Identify the operation affecting $t$ .
2. Isolate the variable $t$ by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

Identify the operation affecting $t$ . In the equation $3 = -4 + t$ , the variable $t$ is being added to $-4$ .

STEP 4

To isolate $t$ , perform the opposite operation. Add $4$ to both sides of the equation to cancel out the $-4$ :
$3 + 4 = -4 + 4 + t$

STEP 5

Simplify both sides of the equation:
$7 = t$

STEP 6

Verify the solution by substituting $t = 7$ back into the original equation:
$3 = -4 + 7$

STEP 7

Simplify the right-hand side:
$3 = 3$
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
$\boxed{7}$

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QuestionScore: 4/5 Penalty: 0.5 offQuestion Watch Video Show ExampleSolve for t . 3=−4+t3=-4+t3=−4+tAnswer Attempt 1 out of 2 t=t=t= □\square□ Submit Answer

Studdy Solution

STEP 1

1. The equation 3=−4+t 3 = -4 + t 3=−4+t is asking us to solve for t t t.2. This is a simple linear equation with one variable.3. The goal is to isolate the variable t t t.

STEP 2

1. Identify the operation affecting t t t.2. Isolate the variable t t t by performing algebraic operations.3. Verify the solution by substituting it back into the original equation.

STEP 3

Identify the operation affecting t t t. In the equation 3=−4+t 3 = -4 + t 3=−4+t, the variable t t t is being added to −4-4−4.

STEP 4

To isolate t t t, perform the opposite operation. Add 4 4 4 to both sides of the equation to cancel out the −4-4−4:3+4=−4+4+t 3 + 4 = -4 + 4 + t 3+4=−4+4+t

STEP 5

Simplify both sides of the equation:7=t 7 = t 7=t

STEP 6

Verify the solution by substituting t=7 t = 7 t=7 back into the original equation:3=−4+7 3 = -4 + 7 3=−4+7

STEP 7

Simplify the right-hand side:3=3 3 = 3 3=3Both sides are equal, confirming that the solution is correct.Therefore, the solution is:7 \boxed{7} 7​

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Studdy solves anything!

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QuestionScore: 4/5 Penalty: 0.5 off
Question Watch Video Show Example
Solve for t . $3=-4+t$
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

1. The equation $3 = -4 + t$ is asking us to solve for $t$ .
2. This is a simple linear equation with one variable.
3. The goal is to isolate the variable $t$ .

1. Identify the operation affecting $t$ .
2. Isolate the variable $t$ by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

Identify the operation affecting $t$ . In the equation $3 = -4 + t$ , the variable $t$ is being added to $-4$ .

To isolate $t$ , perform the opposite operation. Add $4$ to both sides of the equation to cancel out the $-4$ :
$3 + 4 = -4 + 4 + t$

Simplify both sides of the equation:
$7 = t$

Verify the solution by substituting $t = 7$ back into the original equation:
$3 = -4 + 7$

Simplify the right-hand side:
$3 = 3$
Both sides are equal, confirming that the solution is correct.
Therefore, the solution is:
$\boxed{7}$