Systems of Equations with Two Variables  Simultaneous Equations Worksheets
Gain immense practice with this batch of solving systems of equations worksheets, designed for highschool students. Find adequate exercises to solve a set of simultaneous equations with two variables using the graphing method and algebraic methods like the substitution method, elimination method, crossmultiplication method. Also, find practice PDFs on Cramer's Rule and reciprocal equations.

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Solving Systems of Equations  Graphing Method
Direct students of highschool to graph both the linear equations on the coordinate plane using the slopeintercept form of the equation. The point where both the lines intersect is the solution to the systems of equations.

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(3 Worksheets)
Solve the System of Equations  Substitution Method
Substitution method is the technique of rearranging either of the equations and making one variable the subject. Plug in this value in the other equation to find the ordered pair that makes both equations true.

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(3 Worksheets)
Solve the System of Equations  Elimination Method
Instruct highschool students to line up the like variables, multiply with a constant to obtain an equivalent linear equation if required and then add or subtract to eliminate one variable and find the value of the other. Substitute its value to find the value of the eliminated variable.
Two levels of difficulty with 3 worksheets each

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(6 Worksheets)
Solve the System of Equations  CrossMultiplication Method
Crossmultiply the coefficients in order to determine the value of the variables. Substitute the coefficients, variables and constants in the crossmultiplication formula and find the solution to the simultaneous pairs of equations.

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(3 Worksheets)
Solve the System of Equations  Cramer's Rule
Cramer's rule is an efficient way to solve systems of equations. Set up a coefficient matrix, an xmatrix and a ymatrix. Compute the determinants of each 2 x 2 matrix. Divide the determinants of the xmatrix and the ymatrix with the coefficient determinant to solve for the two variables.

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(3 Worksheets)
Solve the System of Equations  Any Method
Each solving the systems of equations worksheet provides eight pairs of simultaneous equations. Apply any method according to your discretion and find the solution to the systems of equations.

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(3 Worksheets)
Solve the System of Linear Equations with Reciprocals
This array of worksheets comprises systems of linear equations consisting of fractions. Assign the value of each fraction to a variable. Solve for the variables using any method; convert the answers to their reciprocals to find the solution to the simultaneous equations.

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(3 Worksheets)