Specific equations are mathematical equations that explicitly outline a variable by way of different variables. Division is a mathematical operation that includes dividing one quantity by one other.
In some instances, it could be essential to put in writing an specific equation with division.
This may be carried out in a state of affairs the place we all know the worth of 1 variable,
and wish to discover the worth of one other variable.
For instance, if we all know the overall price of a purchase order, and the price of every merchandise,
we will use division to seek out the variety of objects bought.
To write down an specific equation with division, we merely must isolate the variable that we wish to outline on one facet of the equation, after which divide either side by the coefficient of that variable.
For instance, if we have now an equation akin to:
2x + 5 = 13,
we will 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
Due to this fact, the express equation with division for this equation is:
x = 13 / 2
The best way to Write an Specific Equation with Division
To write down an specific equation with division, comply with these steps:
- Determine the variable being divided.
- Divide either side of the equation by the variable.
- Simplify the equation.
For instance, to put in writing the express equation for the operate f(x) = 3x + 2 / x – 1, we’d first establish x – 1 because the variable being divided. Then, we’d divide either side of the equation by x – 1:
(3x + 2 / x – 1) / (x – 1) = (3x + 2) / (x – 1)
Lastly, we’d 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 specific equation?
An specific equation is an equation that expresses one variable by way of the opposite variables.
How do I examine if my specific equation is appropriate?
To examine in case your specific equation is appropriate, substitute the worth of 1 variable into the equation and see if the result’s the opposite variable.
