Final answer:
The equation 12 - 21 = -3 has no solution because it is not balanced. The left side has a charge of -6, while the right side has a charge of 0.
Step-by-step explanation:
When you solve the equation 12 - 21 = -3, the correct answer is No Solution because the equation is not balanced.
Let's solve the equation 12 - 21 = -3 step by step:
Subtract 21 from both sides:
12
−
21
=
−
3
→
−
9
=
−
3
12−21=−3→−9=−3
Compare the result:
The equation simplifies to -9 = -3, which is not a true statement.
When an equation leads to a statement that is always false (like -9 = -3), it means there is no solution. In this case, there is no set of values for the variable that will make the equation true. Therefore, the correct answer is indeed "No Solution."
The solution set
{
−
1
,
5
}
{−1,5} does not satisfy the original equation, so it is not a valid solution set for this particular equation.