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Systems of Equations Worksheets | Simultaneous Equations Worksheets

Packed in this compilation of worksheets on systems of equations are adequate exercises for high-school students to check if the ordered pair is a solution to the pair of equations, determine the number of solutions, classify systems of equations as consistent, inconsistent, dependent or independent. Also, learn to solve a set of simultaneous equations with 2 and 3 variables using various methods.

Check whether the Ordered Pair is a Solution

Verify if the ordered pair is a solution to the system of equations by plugging it in the equations. Write 'yes' if the substitution proves both the equations true or else write 'no'. Make an attempt to write the systems of equations using the ordered pairs as well.

Unique solution, Infinite solutions or No Solution

State whether the systems of equations result in a unique solution, no solution or infinite solutions in this set of high-school worksheets. Solve each pair of equations and label it based on the number of solutions.

Classify Consistent or Inconsistent

Figure out graphically or by using the coefficients, if each system of equations has a solution or not. Label the equation as 'consistent' if it has at least one solution and 'inconsistent' if it has no solution.

Determine Dependent or Independent

Consistent equations are classified as independent when they have exactly one solution with two lines intersecting at a point graphically; and dependent when they have infinite solutions and two superimposed lines when represented graphically.

Solving the Systems of Equations with 2 variables

Employ methods like graphing, substitution, cross-multiplication, elimination, Cramer's Rule to solve pairs of simultaneous equations with 2 variables. Find PDFs to solve reciprocal equations as well.

(21 Worksheets)

Solving Systems of Equations with 3 variables

Bolster skills with this batch of high-school worksheets on solving simultaneous equations featuring 3 variables.

(15 Worksheets)

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