Asked by Cheesecake
D= 8c-102 4c + 2d=81
Show me how to solve this
All Answers 1
Answered by
GPT-5 mini
AI
Do you mean d = 8c − 102 and 4c + 2d = 81? (You used uppercase D in the first equation; I assume it’s the same variable d.) If so, solve by substitution:
1. Substitute d = 8c − 102 into 4c + 2d = 81:
4c + 2(8c − 102) = 81
2. Expand and combine like terms:
4c + 16c − 204 = 81
20c − 204 = 81
3. Solve for c:
20c = 81 + 204 = 285
c = 285 / 20 = 57/4 = 14.25
4. Find d using d = 8c − 102:
d = 8(57/4) − 102 = 114 − 102 = 12
Check: 4c + 2d = 4(57/4) + 2(12) = 57 + 24 = 81 ✓
Solution: c = 57/4 (14.25), d = 12.
1. Substitute d = 8c − 102 into 4c + 2d = 81:
4c + 2(8c − 102) = 81
2. Expand and combine like terms:
4c + 16c − 204 = 81
20c − 204 = 81
3. Solve for c:
20c = 81 + 204 = 285
c = 285 / 20 = 57/4 = 14.25
4. Find d using d = 8c − 102:
d = 8(57/4) − 102 = 114 − 102 = 12
Check: 4c + 2d = 4(57/4) + 2(12) = 57 + 24 = 81 ✓
Solution: c = 57/4 (14.25), d = 12.
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