AlgebraLINEAR EQUATIONSExample 2:The equation relating the pressure, P, to the force, F, and the area, A, over whichthe force is applied is . Solve this equation for F, in terms of P and A.PFASolution:Step 1. Axioms 1 and 2 do not help solve the problem, sogo to Step 2.Step 2. Using Axiom 3, multiply both sides of the equationby A.P(A)FA(A)F = PAStep 3. Check the root.PAAPThe root checks.The addition or subtraction of the same quantity from both sides of an equation may beaccomplished by transposing a quantity from one side of the equation to the other. Transposingis a shortened way of applying the addition or subtraction axioms. Any term may be transposedor transferred from one side of an equation to the other if its sign is changed. Thus, in theequation 5x + 4 = 7, the 4 can be transposed to the other side of the equation by changing itssign. The result is 5x = 7 - 4 or 5x = 3. This corresponds to applying the subtraction axiom,Axiom 2, subtracting 4 from both sides of the equation.Rev. 0 Page 9 MA-02
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