To solve the equation `x + 7 = -15`, let's review the steps Tim performed and identify his error:
1. Tim subtracted 7 from both sides of the equation:
`x + 7 - 7 = -15 - 7`
This simplifies to:
`x = -22`
Tim's error is that he did not perform the subtraction correctly. Subtracting 7 from both sides of the equation gives us `x = -22`, not `x = -15` as he calculated. In other words, he mistakenly subtracted 7 from -15 instead of subtracting 7 from both sides of the equation.
To solve the equation correctly, we should follow these steps:
1. Begin with the equation `x + 7 = -15`.
2. Subtract 7 from both sides of the equation to isolate the variable term:
`x = -15 - 7`
Simplifying:
`x = -22`
By correctly performing the subtraction, we find that the correct solution is `x = -22`.
Feedback for Tim:
It seems that Tim made a calculation error while subtracting. To avoid such mistakes, it is important to be attentive while performing operations on both sides of the equation. In this case, subtracting 7 from both sides would have given the correct solution of `x = -22`. Remember to always double-check your calculations to ensure accuracy.
Tim solved the equation: `x+7=-15`
When he "checked back," his solution didn't work.
What was his error?
"Grade" his paper and provide helpful feedback below. You can either include the steps to get the correct answer or describe what he did wrong
1 answer