Question

How many solutions does 10t - 6= 10t + 6 have

Answer 1

The given equation 10t - 6 = 10t + 6 results in a contradiction after simplifying, indicating that there are no solutions, as -6 cannot equal 6.

Step-by-step explanation:

Solving the Equation

We have the equation 10t - 6 = 10t + 6.

To find the number of solutions, we try to isolate the variable t.

If we subtract 10t from both sides of the equation, we get:

-6 = 6

This is a contradiction because -6 does not equal 6. This means the equation has no solutions, as the two sides of the equation will never be equal regardless of the value of t.

In other equations, where the variable term is not cancelled out, you might find one or more solutions, particularly if the equation is quadratic. However, that is not the case here.

Answer 2

The equation 10t - 6 = 10t + 6 has no solutions.

Step-by-step explanation:

Combining like terms on both sides of the equation, we get:

10t - 6 = 10t + 6

Subtracting 10t from both sides eliminates the t term:

-6 = 6

This equation is always false. No value of t can make both sides equal.

Therefore, since there is no value of t that satisfies the equation, there are no solutions.