Final Answer:
The solution to the two-step equation (2/5)x + 10 = 30 is 100. Thus the correct option is A.
Step-by-step explanation:
To solve the equation (2/5)x + 10 = 30, the initial step is to isolate the term with x. Begin by subtracting 10 from both sides of the equation to isolate the term containing x. This gives us (2/5)x = 20.
To further isolate x, multiply both sides by the reciprocal of (2/5), which is 5/2. By doing this, we get x = 20 * (5/2) = 100. Hence, x equals 100.
The solution is x = 100 because after rearranging the equation, it demonstrates that the value of x that satisfies the equation is 100. The steps taken—subtracting 10 from both sides and then multiplying by the reciprocal of the coefficient of x—help isolate x and solve for its value. Therefore, the correct solution to the given equation is x = 100.
The steps involved in solving this equation are essentially isolating the term with x and then using inverse operations (multiplication by the reciprocal) to solve for x. This approach ensures that the value of x can be calculated accurately by following the principles of algebraic manipulation.
Therefore, the correct option is A.
Complete Question
Which is the correct solution to the two-step equation below?
(2/5)x + 10 = 30.
A) x= 100
B) x = 12
C) x = 50
D) x = 16