An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
We call a solution any value of the variable which satisfies the given equation. If the number of values you get (which always satisfy the equation) is a finite number, then the equation is sometimes true (meaning it is true only for those values you got). ex. x + 3 = 5 is true only when x is 2. x2 - 5 = 4 is true only when x is -3 or 3. √x = 7 is true only when x is 49. (check:) 2(3x - 1) = 6x - 2 is always true, meaning for any value that x can take on, both sides becomes equal when x is replaced by it. 2(3x - 1) = 6x - 26x - 2 = 6x - 2 (both sides seems to be equal) , or subtract 6x and add 2 to both sides 0 = 0 a true statement. Since 0 = 0 is an equivalent statement to the original equation and it is a true one, then the original equation must be also a true statement. Thus, there are infinitely many solutions for the given equation. Therefore, the given equation is always true. Sometimes, before you start to solve an equation, you need to exclude some value(s) for the variable of being a solution, because they can make the equation undefined. For example, if the variable happens to be in the denominator, you have to exclude all the values of the variable that make the denominator equal to zero.
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
A straight line will have a constant gradiant, so its change in height over time will be some multiple of x. We'll call this bx. The other point of consideration is where the line crosses the y axis (x=0). We'll call this point a. So the equation of a straight line can be given as y=a+bx
Call the intercept with the y-axis b. The equation for the line is then y=5x+b With the information about the x-intercept we get: 0=5*7+b b=-35
The Solution of an equation is the value of the variable that makes the equation truean answer
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.
Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.
You call that a "solution" of the equation.
We call a solution any value of the variable which satisfies the given equation. If the number of values you get (which always satisfy the equation) is a finite number, then the equation is sometimes true (meaning it is true only for those values you got). ex. x + 3 = 5 is true only when x is 2. x2 - 5 = 4 is true only when x is -3 or 3. √x = 7 is true only when x is 49. (check:) 2(3x - 1) = 6x - 2 is always true, meaning for any value that x can take on, both sides becomes equal when x is replaced by it. 2(3x - 1) = 6x - 26x - 2 = 6x - 2 (both sides seems to be equal) , or subtract 6x and add 2 to both sides 0 = 0 a true statement. Since 0 = 0 is an equivalent statement to the original equation and it is a true one, then the original equation must be also a true statement. Thus, there are infinitely many solutions for the given equation. Therefore, the given equation is always true. Sometimes, before you start to solve an equation, you need to exclude some value(s) for the variable of being a solution, because they can make the equation undefined. For example, if the variable happens to be in the denominator, you have to exclude all the values of the variable that make the denominator equal to zero.
The solid formed by mixing three solutions together is called a precipitate. This occurs when two or more solutions react to form an insoluble solid compound, which then separates out of the solution.
Value.
Immiscible.
Iso-osmotic or isosmotic
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
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