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04.07.2019 •
Mathematics
What is the justification for each step in the solution of the equation? 1.) 5x-4/2 = 2x-1 2.) 5x-4 = 2(2x-1) 3.) 5x-4 = 4x - 2 4.) 5x = 4x+2 5.) x = 2
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Ответ:
Step 1 : (5x-4)/2 = 2x-1 [Given]
Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1) [Multiplicative Property of Equality i.e. by multiplying both sides of the equation by same number]
Step 3 : (5x-4) = 4x-2 [By Distributive Property]
Step 4 : 5x - 4 + 4 = 4x - 2 + 4 [By addition property of equality i.e. by adding both sides of the equation by same number]
⇒ 5x = 4x + 2
Step 5 : 5x - 4x = 4x + 2 - 4x [By subtraction property of equality i.e. by subtracting both sides of the equation by same number]
⇒ x = 2
Ответ: