Tosolvetheequation100+x=250,wecanusetwomethods:Method1:SubtractionMethod1.Bysubtracting100frombothsidesoftheequation,weget:100+x-100=250-100x=150Method2:AdditionMethod1.Byadding-100tobothsidesoftheequ
To solve the equation 100 + x = 250, we can use two methods:
Method 1: Subtraction Method
1. By subtracting 100 from both sides of the equation, we get:
100 + x - 100 = 250 - 100
x = 150
Method 2: Addition Method
1. By adding -100 to both sides of the equation, we get:
100 + x + (-100) = 250 + (-100)
x = 150
Both methods yield the same solution, x = 150.
To verify the solution, substitute x = 150 back into the original equation:
100 + 150 = 250
250 = 250
Since both sides are equal, the solution is correct.