Respuesta :

Answer:

  • Multiply by 3 on both sides of the equation.
  • 2.78 × 3 = 8.34,  so t = 8.34.
  • Substitute 8.34 for t to check the solution.

Step-by-step explanation:

Given equation:

[tex]\sf \dfrac{t}{3}=2.78[/tex]

Multiply by 3 on both sides of the equation:

[tex]\implies \sf \dfrac{t}{3} \times 3=2.78 \times 3[/tex]

[tex]\implies \sf t=8.34[/tex]

Substitute 8.34 for t to check the solution:

[tex]\implies \sf \dfrac{8.34}{3}=2.78 \quad \leftarrow \: correct![/tex]

Answer:

Options 1, 4, and 5

Step-by-step explanation:

In order to solve an equation, the most key rule to remember is that whatever you do to one side, you must do the same to the other side.

This ensures that the equation will remain true.

In order to solve this given equation, we need to isolate the variable t.

We currently have:

t/3=2.78

To isolate t, we must "undo" dividing by 3.

The inverse of division is multiplication, so we can undo the operation by multiplying both sides of the equation by 3.

3 * t/3 = 2.78*3

Simplify

t=8.34

Since t=8.34, it is with this value that we should check the solution.

We can plug 8.34 in for t to see if the equation is true.

8.34/3=2.78

2.78=2.78

Since this is true, we know that we have solved the equation correctly.

Keywords:

Equation

Algebra

Inverse

Fractions

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