Tom is given the equation 10x+15=20 to solve. He says the solution is 1/2 Which reason justifies his solution?
Tom's solution of 1/2 is justified because when he substitutes x=1/2 into the equation 10x+15=20, the equation holds true.
To determine whether Tom's solution of 1/2 is justified, we need to plug it back into the original equation and check if it holds true.
Given equation: 10x + 15 = 20
Let's substitute x = 1/2 into the equation and see if it satisfies the equation:
10(1/2) + 15 = 20
5 + 15 = 20
20 = 20
Since the left side of the equation is equal to the right side, Tom's solution of x = 1/2 is indeed correct and justified.
To verify if Tom's solution is correct, we can substitute the value of x that he obtained (1/2) back into the original equation and see if it holds true.
Given equation: 10x + 15 = 20
Substituting x = 1/2 into the equation:
10(1/2) + 15 = 20
5 + 15 = 20
20 = 20
Since both sides of the equation are equal, we can conclude that Tom's solution is correct. The reason for justifying his solution is that by substituting the value of x back into the original equation, we obtain a true statement. Therefore, x = 1/2 is the solution to the equation.