Question

How many solutions does -2(t-4) = 10 - 2t have?

Answer 1

Answer:

infinite solutions does -2(t-4) = 10 - 2t have

Step-by-step explanation:

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Answer 2

Answer:

This equation has no solution.

Step-by-step explanation:

Given,

$- 2(t - 4) = 10 - 2t$

We are removing brackets,

$- 2t + 8 = 10 - 2t$

We are separating variable and constant part,

$- 2t + 2t = 10 - 8$

$0 = 2$

Here variable part is eliminating automatically.

So solution of this equation is not possible.

Therefore this equation has no solution.

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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2) https://brainly.in/question/1169549