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Equation has only one solution. The solution of a linear equation is equal to the value of the unknown variable that makes the linear equation true. A linear equation in the form of ax + by c is said to be in standard form. A linear equation in the form of y mx + b is said to be in slope intercept form. The solution set for linear equations in either form is not just a single number but a set of ordered pairs of numbers ( x, y ) . The solution set can be represented graphically on a Cartesi.
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Hence the Degree of a Linear Equation is always one due to the variables being continually raised to the degree one. In a linear equation, variables have similar exponents that are one, and this applies to all the variables present in the equation.
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In case of a polynomial in one variable, the highest power of the variable is called the degree of the polynomial. In case of polynomials in more than one variable, the sum of the powers of the variables in each term is taken up and the highest sum so obtained is called the degree of the polynomial. The highest power of the variable in a polynomial is called its - BYJU'S byjus.com https://byjus.com › question-answer › the-highest-power-... byjus.com https://byjus.com › question-answer › the-highest-power-...
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In case of a polynomial in one variable, the highest power of the variable is called the degree of the polynomial. In case of polynomials in more than one variable, the sum of the powers of the variables in each term is taken up and the highest sum so obtained is called the degree of the polynomial.
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Linear equations do not have any exponent other than 1 in any term. The general form of a linear equation is expressed as Ax + By + C = 0, where A, B, and C are any real numbers and x and y are the variables.
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A linear equation is an algebraic equation in which each variable term is raised to the exponent or power of 1. A linear equation in one or two variables always represents a straight line when graphed. Example: x + 2 y = 4 is a linear equation and the graph of this linear equation is a straight line. Linear Equations: Definition, Formula, Graph, Solved Examples SplashLearn https://.splashlearn.com › math-vocabulary › line... SplashLearn https://.splashlearn.com › math-vocabulary › line...
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A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
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A linear equation in one variable is an equation with the exponent 1 on the variable. These are also known as first‐degree equations, because the highest exponent on the variable is 1. All linear equations eventually can be written in the form ax + b = c, where a, b, and c are real numbers and a ≠ 0. Linear Equations - Algebra II - Cliffs Notes CliffsNotes https://.cliffsnotes.com › algebra › algebra-ii › lin... CliffsNotes https://.cliffsnotes.com › algebra › algebra-ii › lin...
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1 For a linear equation, the highest order of any term is 1. This also means that the highest power of any variable is 1. In a linear equation, the highest power of variable is . - BYJU'S BYJU'S https://byjus.com › question-answer › in-a-linear-equa... BYJU'S https://byjus.com › question-answer › in-a-linear-equa...
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