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Printable in convenient PDF format. Create the worksheets you need with Infinite Algebra 1. Adding and Subtracting Rational Numbers. Multiplying and Dividing Rational Numbers. Trigonometry to Find Angle Measures.
Systems of Equations Word Problems. Adding and Subtracting Rational Expressions. Center and Spread of Data. Distance Rate Time Word Problems. Adding and Subtracting Radical Expressions. Screen reader users, click the load entire article button to bypass dynamically loaded article content.
Please note that Internet Explorer version 8. Click the View full text link to bypass dynamically loaded article content. This chapter discusses the systems of linear and nonlinear equations and inequalities. A system of linear equations is a pair of linear equations with two unknowns. Solving a system of equations means finding values of the unknowns that satisfy both equations.
A system that has a solution is said to be consistent, and a system with no solution is inconsistent. A system can be solved by graphing, in which case the solution is the coordinates of the point where the two lines intersect. The substitution method of solving a system yields an exact solution. The method of solving a system of two linear equations by elimination consists of manipulating the coefficients of the variables so that one variable vanishes when the two equations are added and the resulting equation has only one variable and is easily solved. Three linear equations in three unknowns can be solved by the substitution method and by the Gaussian elimination method.