The above system is reduced into one equation. To solve this equation we have to assign y = k. x+2y = 3. x+2(k) = 3. x+2k = 3. x = 3-2k and y = k. So, the solution is (3-2k, k). Here k ∈ R where R is real numbers. Example 5 : Solve the following
How to solve a system of two equations using Cramer’s rule. Evaluate the determinant \(D\), using the coefficients of the variables. Evaluate the determinant \(D_x\).
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To use determinants to solve a system of three equations with three variables (Cramer's Rule), say x, y, and z, four determinants must be formed following this procedure: Write all equations
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