Fill in the missing reasons/property : Given:3(x-5)=21
Prove: x = 12
Statements Reasons
3(x-5)=21 Given 3x-15 =21 (1)
3x = 36 (2)
X = 12 (3)
Prove: x = 12
Statements Reasons
3(x-5)=21 Given 3x-15 =21 (1)
3x = 36 (2)
X = 12 (3)
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Answer:
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
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