To solve the equation [tex]\( 45x = 11 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Understand the Equation:
The equation given is [tex]\( 45x = 11 \)[/tex]. This is a linear equation in one variable, [tex]\( x \)[/tex], where the coefficient of [tex]\( x \)[/tex] is 45 and the constant term is 11.
2. Isolate [tex]\( x \)[/tex]:
To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We do this by dividing both sides of the equation by the coefficient of [tex]\( x \)[/tex] (which is 45).
- Divide both sides by 45:
[tex]\[
x = \frac{11}{45}
\][/tex]
3. Simplify the Fraction:
The fraction [tex]\( \frac{11}{45} \)[/tex] is already in its simplest form, as 11 is a prime number and does not share any common factors with 45.
4. Result:
The value of [tex]\( x \)[/tex] in the equation [tex]\( 45x = 11 \)[/tex] is:
[tex]\[
x \approx 0.2444
\][/tex]
Therefore, [tex]\( x \)[/tex] is approximately 0.2444 when you solve the equation [tex]\( 45x = 11 \)[/tex].
Regarding the mention of [tex]\( x = 56 \)[/tex], it seems to be an extraneous or unrelated piece of information and does not affect the solution of [tex]\( 45x = 11 \)[/tex]. Hence, you can disregard it for solving this particular equation.
