In the equation 12 = -x + 8, Tillie subtracts 8 from both sides to isolate the variable x.
Starting with:
12 = -x + 8
Subtracting 8 from both sides:
12 - 8 = -x + 8 - 8
4 = -x
This step simplifies the equation to:
4 = -x
Then, Tillie can further isolate x by multiplying both sides by -1 to get the final answer:
-4 = x
Therefore, the correct first step in solving the equation is to subtract 8 from both sides.
Tillie is solving an equation for x . Her first step is to subtract 8 from both sides of the equation. Which equation is she solving? Responses 12 = −x − 8 12 = −x − 8 - incorrect 12 − x = 8 12 − x = 8 - no response given 12 − x = −8 12 − x = −8 - no response given 12 = −x + 8 12 = −x + 8 - not selected, this is the correct answer In this equation, the first step is to add 8. Score Explain how?????????????????
3 answers
shorter but explain how??
Sure, by subtracting 8 from both sides of the equation, Tillie is following the principle of maintaining the equality of the equation. Subtraction is the inverse operation of addition, so by subtracting 8 from both sides, she is trying to isolate the variable x on one side of the equation.