Question

if 4t+5=-t+15 then t

Answer 1

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Here is your answer

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4t + 5 = (-t) + 15

4t + t = 15 - 5

5t = 10

t = 10/5

t = 2


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Answer 2

Answer:

Required value of t is 2.

Explanation:

Given equation is $4t + 5 = - t + 15$

This is a equation of one degree.

Here we want to find value of t.

First we are separating variable and constant part

$4t + t = 15 - 5 \\ 5t = 10 \\ t = \frac{10}{5} \\ t = 2$

Therefore value of t is 2.

This is a problem of Algebra.

Some important formulas of Algebra,

(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)

${a}^{2} - {b}^{2} = (a + b)(a - b)\\{a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab\\{a}^{2} + {b}^{2} = {(a - b)}^{2} + 2ab\\{a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )\\{a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$