Question $0.7 t-3.2=1.7$

Studdy Solution

STEP 1

1. The equation $0.7t - 3.2 = 1.7$ is a linear equation in one variable.
2. We need to solve for the variable $t$ .
3. Basic algebraic operations such as addition, subtraction, multiplication, and division will be used.

STEP 2

1. Isolate the term containing the variable $t$ .
2. Solve for $t$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing $t$ , we need to eliminate the constant term on the left side of the equation. Add $3.2$ to both sides of the equation:
$0.7t - 3.2 + 3.2 = 1.7 + 3.2$

STEP 4

Simplify both sides of the equation:
$0.7t = 4.9$

STEP 5

To solve for $t$ , divide both sides of the equation by $0.7$ :
$t = \frac{4.9}{0.7}$

STEP 6

Simplify the division:
$t = 7$

STEP 7

Check the solution by substituting $t = 7$ back into the original equation:
$0.7(7) - 3.2 = 1.7$

STEP 8

Simplify the left side:
$4.9 - 3.2 = 1.7$
$1.7 = 1.7$
Both sides are equal, confirming the solution is correct.
The solution is:
$\boxed{7}$

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