Answer:
Step-by-step explanation:
i. 4 (x - 2) = 100
x-2= 100/4
x-2=25
x=25+2
x=27
ii. 2 (x - 2) = 50
x-2= 50/2
x-2=25
x=25+2
x=27
The equation 4 (x - 2) = 100 is a true equation for x when x = 27
4 (x - 2) = 100
4x - 8 = 100
Collect like terms
4x = 100 - 8
4x = 92
Divide both side by 4
4x/4 = 92/4
x= 27
Also the equation 4 (x - 2) = 100 is the same as 2 (x - 2) = 50 when the former equation is being divided by 2.
Therefore, the equation 4 (x - 2) = 100 is a true equation for x when x = 27
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