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What does it mean for a ordered pair to be a solution to a linear equation?
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
Why a linear equation of two variables has an infinite number of solutions?
A linear equation in two variables represents a straight line on a Cartesian plane. Each point on this line corresponds to a unique pair of values for the two variables that satisfy the equation. Since there are infinitely many points on a line, there are also infinitely many solutions to the equation. Thus, any linear equation in two variables has an infinite number of solutions.
Why was there a need to invent linear equation in two variables?
If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.
32x plus 60y 1116?
It could be a linear equation in two variables. A single linear equation in two variables cannot be solved.
What is 3x plus 3y equals 63?
It is a linear equation in two variables. It can be simplified but cannot be solved since two variables require two [independent] linear equations.
Is a linear equation in two variables 3 plus e equals 2.3f plus e-7g?
It is a linear equation in three variables which is equivalent to a linear equation in two variables. This is because 3 + e = 2.3f +e - 7g is equivalent to 3 = 2.3f -7g
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
What is the definition of a linear equation?
A linear equation is a mathematical expression that represents a straight line when graphed on a coordinate plane. It typically takes the form ( ax + by = c ), where ( a ), ( b ), and ( c ) are constants, and ( x ) and ( y ) are variables. The equation describes a relationship between the variables that can be solved for one variable in terms of the other. Linear equations have a degree of one, meaning the highest power of the variable is one.
Is 7xy-11 a linear equation?
No, the expression (7xy - 11) is not a linear equation because it contains the product of two variables, (x) and (y). A linear equation in two variables typically has the form (Ax + By + C = 0), where the variables are not multiplied together. In this case, the presence of the term (xy) indicates that the equation is nonlinear.
When is a linear equation an identity?
When the equation represents a horizontal line.
What are the different kinds of linear equation?
There can be linear equations with 1, 2, ... variables. Each of these is different since an equation with n variables belongs to n-dimensional space.
Why a linear transformer is called linear?
That is because they are of the form y = a1x1 + a2x2 + ... anxn where x1, ... xn are variables and a1, ..., an are constants. Such an equation represents a straight line in n-dimensional space.
