Question

5(12t + 17) + 7( 5- 6t)=282.уравнение​

Answer 1

$5(12t + 17) + 7( 5- 6t)=282\\60t+85+35-42t=282\\18t+120=282\\18t=282-120\\18t=162\\t= 9$

Answer 2

To solve the given equation $5(12t + 17) + 7(5 - 6t) = 282$, you need to distribute the numbers outside the parentheses and then simplify the equation step by step.

First, distribute the 5 and 7:

$60t + 85 + 35 - 42t = 282$.

Combine like terms:

$60t - 42t + 85 + 35 = 282$.

Simplify the equation:

$18t + 120 = 282$.

Now, isolate the variable $t$:

Subtract 120 from both sides:

$18t = 162$.

Divide by 18:

$t = \frac{162}{18} = 9$.

So, the solution to the given equation is $t = 9$.