Specific equations are mathematical equations that explicitly outline a variable when it comes to different variables. Division is a mathematical operation that includes dividing one quantity by one other.
In some circumstances, it could be crucial to jot down an express equation with division.
This could be performed in a scenario the place we all know the worth of 1 variable,
and need to discover the worth of one other variable.
For instance, if we all know the full price of a purchase order, and the price of every merchandise,
we are able to use division to seek out the variety of gadgets bought.
To write down an express equation with division, we merely must isolate the variable that we need to outline on one facet of the equation, after which divide either side by the coefficient of that variable.
For instance, if now we have an equation reminiscent of:
2x + 5 = 13,
we are able to isolate `x` on one facet of the equation by subtracting 5 from either side:
2x = 8
after which divide either side by 2:
x = 4
Subsequently, the specific equation with division for this equation is:
x = 13 / 2
The best way to Write an Specific Equation with Division
To write down an express equation with division, observe these steps:
- Establish the variable being divided.
- Divide either side of the equation by the variable.
- Simplify the equation.
For instance, to jot down the specific equation for the perform f(x) = 3x + 2 / x – 1, we might first establish x – 1 because the variable being divided. Then, we might divide either side of the equation by x – 1:
(3x + 2 / x – 1) / (x – 1) = (3x + 2) / (x – 1)
Lastly, we might simplify the equation:
f(x) = 3 + 2 / (x – 1)
Individuals Additionally Ask About The best way to Write an Specific Equation with Division
What’s an express equation?
An express equation is an equation that expresses one variable when it comes to the opposite variables.
How do I verify if my express equation is appropriate?
To verify in case your express equation is appropriate, substitute the worth of 1 variable into the equation and see if the result’s the opposite variable.
