Final answer:
The division property of equality can be applied to the equation 10x = 3 to solve for x by dividing both sides by 10. The solution to this equation is x = 3/10.
Step-by-step explanation:
The division property of equality is used to solve equations by dividing both sides of the equation by the same nonzero number. This property states that if two quantities are equal, then dividing both quantities by the same number will not change the equality. Among the equations provided, 10x = 3 is the one in which we can apply the division property of equality to solve for x. To solve this equation, divide both sides by 10, which is the coefficient of x.
The steps for solving 10x = 3 using the division property of equality are:
- Divide each side of the equation by 10.
- x = 3/10.
- Therefore, the solution to the equation is x = 3/10.
We cannot use the division property of equality directly to solve the quadratic equation x2 + 7x + 6 = 0, as it requires different techniques like factoring or using the quadratic formula.