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What is algebraic strategy for solving a system of equations when two expressions are the same?
An expression is the algebraic representation of a number - an expression has a numeric value.
An equation is an algebraic statement claiming that two expressions have the same numeric value. The equation has a Boolean value (true or false).
If two equations can be expressed in an identical manner (the same expression on both sides) - then these equations are the same equation.
In order for a system of equations to have a solution, the number of different equations in the system must be equal to the number of variables in the system. If there are more distinct equations than there are variables, than the system has no solution. If there are less, then the system may have no solution, or infinitely many solutions.
In the case described there is most likely an infinite number of solutions
What else can I help you with?
What is the algebra vocabulary?
Algebra vocabulary refers to the terminology and symbols used in algebraic expressions, equations, and operations. Some common algebra vocabulary includes variables, constants, coefficients, exponents, terms, equations, inequalities, functions, and graphs. Understanding and using this vocabulary is essential for solving algebraic problems and communicating mathematical ideas effectively.
How do you study for algebra 1 finals?
Study everything - that's your best bet. Important subjects probably include: Polynomials, Exponents, Radicals, Solving Equations, Solving Inequalities, Absolute Value Equations and Inequalities, Lines, Word Problems, Systems of Equations (2x2's), Factoring, Division of Polynomials, Quadratics, Parabolas, Complex Numbers, Algebraic Fractions, Functions
What is basic algebra?
That's what you learn in high school, in a first subject of algebra - things like evaluating expressions, converting them, solving equations, factoring polynomials, etc.
What does the first unit of algebra cover?
It depends on the edition, but typically, it would include, working with expressions that include variables - for example, adding, subtracting, multiplying, and dividing such expressions; fractions (also with expressions); writing equations (based on word problems) and solving those equations; factoring polynomials; graphing; perhaps some basic trigonometry. - High school algebra is all about working with variables.
When cross multiplication can and cannot be correctly used?
Cross multiplication can only be used when solving equations of the form a/b = c/d, where a, b, c and d are numbers, variables or algebraic expressions. Also, neither denominator can take a value of zero. When cross-multiplying, the expression a/b = c/d can be re-expressed as ad = bc.
What is the algebra vocabulary?
Algebra vocabulary refers to the terminology and symbols used in algebraic expressions, equations, and operations. Some common algebra vocabulary includes variables, constants, coefficients, exponents, terms, equations, inequalities, functions, and graphs. Understanding and using this vocabulary is essential for solving algebraic problems and communicating mathematical ideas effectively.
When solving a system of equations what does 4 equals 4 mean?
three things: 1) that the value of 4 is equal to the value of 4. 2) you did not obtain any revealing information. 3) your strategy for solving that system of equations was not good.
How do you study for algebra 1 finals?
Study everything - that's your best bet. Important subjects probably include: Polynomials, Exponents, Radicals, Solving Equations, Solving Inequalities, Absolute Value Equations and Inequalities, Lines, Word Problems, Systems of Equations (2x2's), Factoring, Division of Polynomials, Quadratics, Parabolas, Complex Numbers, Algebraic Fractions, Functions
How are the rules for solving inequalities similar to those for solving equations?
Solving inequalities and equations are the same because both have variables in the equation.
What is basic algebra?
That's what you learn in high school, in a first subject of algebra - things like evaluating expressions, converting them, solving equations, factoring polynomials, etc.
What does the first unit of algebra cover?
It depends on the edition, but typically, it would include, working with expressions that include variables - for example, adding, subtracting, multiplying, and dividing such expressions; fractions (also with expressions); writing equations (based on word problems) and solving those equations; factoring polynomials; graphing; perhaps some basic trigonometry. - High school algebra is all about working with variables.
How do you solve two-step equations with fractions?
Equations can be tricky, and solving two step equations is an important step beyond solving equations in one step. Solving two-step equations will help introduce students to solving equations in multiple steps, a skill necessary in Algebra I and II. To solve these types of equations, we use additive and multiplicative inverses to isolate and solve for the variable. Solving Two Step Equations Involving Fractions This video explains how to solve two step equations involving fractions.
When cross multiplication can and cannot be correctly used?
Cross multiplication can only be used when solving equations of the form a/b = c/d, where a, b, c and d are numbers, variables or algebraic expressions. Also, neither denominator can take a value of zero. When cross-multiplying, the expression a/b = c/d can be re-expressed as ad = bc.
Who invented the 2 step equations?
The concept of solving 2-step equations, which involve two arithmetic operations to isolate the variable, is a fundamental concept in algebra. The invention of this method cannot be attributed to a single individual, as algebraic equations have been developed and refined over centuries by mathematicians from various cultures. However, the systematic approach to solving equations, including 2-step equations, can be traced back to ancient civilizations such as the Babylonians, Greeks, and Arabs, who made significant contributions to the field of mathematics.
Can algebraic expression be solved?
Yes, algebraic expressions can be solved, depending on the type of expression and the variable(s) involved. If the expression has a single variable, it can typically be solved for that variable using algebraic techniques such as simplifying, factoring, or isolating the variable. However, if the expression has multiple variables or complex operations, solving it may require more advanced algebraic techniques or numerical methods.
How is solving radical equations similar to solving linear equations?
It really is utilized to solve specific variablesIt really is utilized to rearrange the word.
How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solving equations with integer coefficients and constants?
The method is the same.
