Tom is given the equation 10x + 15 = 20 to solve. He says the solution is 1/2 Which reason justifies his solution?
To justify Tom's solution, it is necessary to substitute 1/2 in the equation and verify if it satisfies the equation.
To determine the reason behind Tom's solution of 1/2, we need to understand how he arrived at that answer based on the given equation 10x + 15 = 20.
To solve for x, we need to isolate it on one side of the equation. Let's follow the steps to solve for x and see if Tom's solution is correct:
1. Start with the equation: 10x + 15 = 20
2. Subtract 15 from both sides of the equation to isolate the term with the variable:
10x + 15 - 15 = 20 - 15
10x = 5
3. Divide both sides of the equation by 10 to solve for x:
(10x)/10 = 5/10
x = 1/2
Based on these steps, Tom's solution of x = 1/2 is indeed correct. By subtracting 15 from both sides and dividing both sides by 10, he correctly isolated the value of x and found that it equals 1/2. Therefore, the reason justifying his solution is the correct application of algebraic operations to solve for the variable.
To solve the given equation 10x + 15 = 20, we need to isolate the variable x.
Let's go through the steps:
1. Subtract 15 from both sides of the equation:
10x + 15 - 15 = 20 - 15
10x = 5
2. Divide both sides of the equation by 10 to solve for x:
10x/10 = 5/10
x = 1/2
Therefore, Tom's solution of x = 1/2 is correct.