Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to solve a system of two linear equations with two variables, $x$ and $y$, using...

Linear EquationsSystems of EquationsSubstitution MethodSolving Equations

We are asked to find the solution to the system of linear equations using the substitution method. T...

Linear EquationsSystems of EquationsSubstitution Method

We are asked to solve the system of linear equations: $3s + 2t = 10$ (1) $4s - 6t = 9$ (2) using t...

Linear EquationsSystems of EquationsElimination MethodSolving Equations

We are given a system of two linear equations: $5x - y = 8$ $4x + 4y = 16$ We need to solve this sys...

Linear EquationsSystems of EquationsElimination MethodSubstitution MethodSolution

We are given a system of two linear equations: $5x - y = 8$ (1) $4x + 4y = 16$ (2) We need to solve ...

Linear EquationsSystem of EquationsElimination MethodSubstitution MethodSolution

The problem is to solve the given system of linear equations: $2x + 7y = 22$ (1) $5x + 8y = 17$ ...

Linear EquationsSystems of EquationsElimination MethodSolution of EquationsIndependent EquationsConsistent Equations

The problem is to solve the following system of linear equations: $2x + 7y = 22$ $5x + 8y = 17$ We n...

Linear EquationsSystems of EquationsElimination MethodSubstitution MethodSolution of Equations

The problem asks to solve the system of equations: $4x - 9y = 4$ $-20x + 45y = -20$ and to determine...

Systems of EquationsLinear EquationsSolution ExistenceInfinite SolutionsLinear Dependence

We are given a system of two linear equations: $4x - 9y = 4$ $-20x + 45y = -20$ We need to determine...

Linear EquationsSystems of EquationsSolution AnalysisElimination Method

The problem asks us to solve the system of equations: $\frac{2}{3}x - y = 2$ $3x - \frac{3}{4}y = 24...

Systems of EquationsLinear EquationsSolving EquationsGraphical Interpretation

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