It is important to understand a few words to answer this.
One must know what terms, expressions, equations and sentences are in math.
The first is terms. A term is usually a number, a variable or some product of numbers and variables. For example x is a term as is 2x and 2x2 .
An expression is a collection of terms separated by a + or - sign and it does NOT contain an equal sign. Expression can also be made of terms separated by division or terms raised to powers. It can also include functions. So it is a string of terms, but it must obey rules of syntax.
An equation is two sets of terms separated by an = sign. It is one type of math sentence. An equation asserts that the two things on either side are equal.
Another type of sentence which uses terms is 2<3. A sentence is like a formula and it can be true of false, but it is composed of terms.
Start by collecting like terms...
Equations that have the same solution.
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Without any equality signs the given terms can't be considered to be equations.
Parametric equations. e.g. x = f(t) y = g(t)
Equations always contain an
Start by collecting like terms...
True
Equations that have the same solution.
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Independence:The equations of a linear system are independentif none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Without any equality signs the given terms can't be considered to be equations.
Parametric equations. e.g. x = f(t) y = g(t)
The theory of radio waves and waveguides is explained in terms of equations in the form of vector calculus. Examples are Maxwell's equations.
Without any equality signs the given terms can't be considered to be equations
Without any equality signs the given terms can't be considered to be equations.
You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.