Answer :
Sure! Let's go through the steps to solve Mia's equation correctly.
Mia was solving the equation:
[tex]\[ 83 + n = 110 \][/tex]
Here's a step-by-step explanation of what should be done:
1. Identify the Operation: We need to solve for [tex]\( n \)[/tex]. The equation is currently [tex]\( 83 + n = 110 \)[/tex]. To isolate [tex]\( n \)[/tex], we need to undo the addition of 83.
2. Use the Inverse Operation: To undo the addition of 83, we should subtract 83 from both sides of the equation. This is the inverse operation.
3. Subtract 83 from Both Sides:
[tex]\[
83 + n - 83 = 110 - 83
\][/tex]
4. Simplify:
[tex]\[
n = 27
\][/tex]
So, the correct value for [tex]\( n \)[/tex] is 27.
Mia's Error: She added 83 to both sides instead of subtracting 83. This resulted in an incorrect step and solution.
Therefore, the correct step was to subtract 83 from both sides, and the correct value of [tex]\( n \)[/tex] is 27.
Mia was solving the equation:
[tex]\[ 83 + n = 110 \][/tex]
Here's a step-by-step explanation of what should be done:
1. Identify the Operation: We need to solve for [tex]\( n \)[/tex]. The equation is currently [tex]\( 83 + n = 110 \)[/tex]. To isolate [tex]\( n \)[/tex], we need to undo the addition of 83.
2. Use the Inverse Operation: To undo the addition of 83, we should subtract 83 from both sides of the equation. This is the inverse operation.
3. Subtract 83 from Both Sides:
[tex]\[
83 + n - 83 = 110 - 83
\][/tex]
4. Simplify:
[tex]\[
n = 27
\][/tex]
So, the correct value for [tex]\( n \)[/tex] is 27.
Mia's Error: She added 83 to both sides instead of subtracting 83. This resulted in an incorrect step and solution.
Therefore, the correct step was to subtract 83 from both sides, and the correct value of [tex]\( n \)[/tex] is 27.
