Solved on Feb 15, 2024

Solve the equation $\frac{1}{4}t-6=-4$ for $t$ .

STEP 1

Assumptions
1. We are given the equation $\frac{1}{4} t - 6 = -4$ .
2. We need to solve for $t$ .

STEP 2

First, we need to isolate the term containing $t$ on one side of the equation. To do this, we can add 6 to both sides of the equation to cancel out the -6 on the left side.
$\frac{1}{4} t - 6 + 6 = -4 + 6$

STEP 3

Simplify both sides of the equation.
$\frac{1}{4} t = 2$

STEP 4

Now, to solve for $t$ , we need to get rid of the fraction $\frac{1}{4}$ . We can do this by multiplying both sides of the equation by the reciprocal of $\frac{1}{4}$ , which is 4.
$4 \times \frac{1}{4} t = 2 \times 4$

STEP 5

Simplify the left side of the equation by multiplying 4 and $\frac{1}{4}$ , which results in 1.
$1 \times t = 2 \times 4$

STEP 6

Simplify the right side of the equation by multiplying 2 and 4.
$t = 8$
The solution to the equation $\frac{1}{4} t - 6 = -4$ is $t = 8$ .

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Solve the equation $\frac{1}{4}t-6=-4$ for $t$ .

STEP 1

Assumptions
1. We are given the equation $\frac{1}{4} t - 6 = -4$ .
2. We need to solve for $t$ .

STEP 2

First, we need to isolate the term containing $t$ on one side of the equation. To do this, we can add 6 to both sides of the equation to cancel out the -6 on the left side.
$\frac{1}{4} t - 6 + 6 = -4 + 6$

STEP 3

Simplify both sides of the equation.
$\frac{1}{4} t = 2$

STEP 4

Now, to solve for $t$ , we need to get rid of the fraction $\frac{1}{4}$ . We can do this by multiplying both sides of the equation by the reciprocal of $\frac{1}{4}$ , which is 4.
$4 \times \frac{1}{4} t = 2 \times 4$

STEP 5

Simplify the left side of the equation by multiplying 4 and $\frac{1}{4}$ , which results in 1.
$1 \times t = 2 \times 4$

STEP 6

Simplify the right side of the equation by multiplying 2 and 4.
$t = 8$
The solution to the equation $\frac{1}{4} t - 6 = -4$ is $t = 8$ .

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Solve the equation 14t−6=−4\frac{1}{4}t-6=-441​t−6=−4 for ttt.

STEP 1

Assumptions1. We are given the equation 14t−6=−4\frac{1}{4} t - 6 = -441​t−6=−4.2. We need to solve for ttt.

STEP 2

First, we need to isolate the term containing ttt on one side of the equation. To do this, we can add 6 to both sides of the equation to cancel out the -6 on the left side.14t−6+6=−4+6\frac{1}{4} t - 6 + 6 = -4 + 641​t−6+6=−4+6

STEP 3

Simplify both sides of the equation.14t=2\frac{1}{4} t = 241​t=2

STEP 4

Now, to solve for ttt, we need to get rid of the fraction 14\frac{1}{4}41​. We can do this by multiplying both sides of the equation by the reciprocal of 14\frac{1}{4}41​, which is 4.4×14t=2×44 \times \frac{1}{4} t = 2 \times 44×41​t=2×4

STEP 5

Simplify the left side of the equation by multiplying 4 and 14\frac{1}{4}41​, which results in 1.1×t=2×41 \times t = 2 \times 41×t=2×4

STEP 6

Simplify the right side of the equation by multiplying 2 and 4.t=8t = 8t=8The solution to the equation 14t−6=−4\frac{1}{4} t - 6 = -441​t−6=−4 is t=8t = 8t=8.

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

Solve the equation $\frac{1}{4}t-6=-4$ for $t$ .

Assumptions
1. We are given the equation $\frac{1}{4} t - 6 = -4$ .
2. We need to solve for $t$ .

First, we need to isolate the term containing $t$ on one side of the equation. To do this, we can add 6 to both sides of the equation to cancel out the -6 on the left side.
$\frac{1}{4} t - 6 + 6 = -4 + 6$

Simplify both sides of the equation.
$\frac{1}{4} t = 2$

Now, to solve for $t$ , we need to get rid of the fraction $\frac{1}{4}$ . We can do this by multiplying both sides of the equation by the reciprocal of $\frac{1}{4}$ , which is 4.
$4 \times \frac{1}{4} t = 2 \times 4$

Simplify the left side of the equation by multiplying 4 and $\frac{1}{4}$ , which results in 1.
$1 \times t = 2 \times 4$

Simplify the right side of the equation by multiplying 2 and 4.
$t = 8$
The solution to the equation $\frac{1}{4} t - 6 = -4$ is $t = 8$ .