LINEAR EQUATIONSAlgebraStep 3. Check the root.2(-3) + 9 = -6 + 9 = 33[(-3) + 4] = 3(1) = 3The root checks.These same steps can be used to solve equations that include several unknowns. The result isan expression for one of the unknowns in terms of the other unknowns. This is particularlyimportant in solving practical problems. Often the known relationship among several physicalquantities must be rearranged in order to solve for the unknown quantity. The steps areperformed so that the unknown quantity is isolated on the left-hand side of the equation.Example 1:Solve the equation ax - b = c for x in terms of a, b, and c.Solution:Step 1. Using Axiom 1, add b to both sides of the equation.ax - b + b= c + bax= c + bStep 2. Using Axiom 4, divide both sides of the equation bya.axacbaxcbaStep 3. Check the root.a^{c}babcbbcThe root checks.MA-02 Page 8 Rev. 0

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