Let be a non-zero integer

MATHEMATICS · Multi-part · US High School · Algebra 1 · Linear Equations & Systems · Linear Equations & Systems

Problem

Let kk be a non-zero integer. The linear equation (k+3)x−2k=5(k−1)(k + 3)x - 2k = 5(k - 1) is given. (i) Solve the equation to express xx in terms of kk. (ii) Find the value of xx when k=2k = 2. (iii) For what value(s) of kk does the equation have the solution x=3x = 3? Show your calculation.

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