Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Simplify the equation |
Grade: 9-a Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify the equation: |
|
2 |
Step |
Dividing "7" on both sides |
\$ (\cancel(7)^1((((5a-4)/4) + 9)/5))/\cancel(7)^1 = 2/7 \$ |
3 |
Step |
After cancellation |
\$(((5a-4)/4) + 9)/5 = 2/7 \$ |
4 |
Step |
Multiplying "5" on both sides we get |
\$ (((5a-4)/4) + 9) /\cancel5^1\times\cancel5^1 = 2/7\times5 \$ |
5 |
Step |
After cancellation we get |
\$(5a-4)/4 + 9 = 10/7 \$ |
6 |
Step |
Taking LCM as "4" |
\$(5a - 4 + (9\times4))/4 = 10/7 \$ |
7 |
Step |
After simplification |
\$ (5a - 4 + 36)/4 = 10/7 \$ |
8 |
Step |
After Simplification |
\$ (5a + 32)/4 = 10/7 \$ |
9 |
Step |
Multiplying "4" on both sides |
\$ (5a + 32)/\cancel(4)^1\times\cancel(4)^1 = 10/7\times4 \$ |
10 |
Step |
After Cancellation |
\$ 5a + 32 = 40/7 \$ |
11 |
Step |
Adding "-32" on both sides |
\$ 5a + \cancel(32) - \cancel(32) = 40/7 - 32 \$ |
12 |
Step |
After cancellation |
\$ 5a = 40/7-32 \$ |
13 |
Step |
Taking LCM as "7" |
\$ 5a = (40 - (32\times7))/7 \$ |
14 |
Step |
After simplification |
\$ 5a = (40 - 224)/7 \$ |
15 |
Step |
After adding |
\$ 5a = -184/7 \$ |
16 |
Step |
Dividing "5" on both sides |
\$ (\cancel5^1a)/\cancel5^1 = -184/(7\times5) \$ |
17 |
Step |
After Cancellation |
\$ a = -184/35 \$ |
18 |
Step |
Answer |
A |
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