Answer
c = 9 and p = 16
↓Steps Explained:↓
Use the substitution method to solve:
4c + 3p = 84
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for c:
4c + 3p = 84
Subtract 3p from both sides to isolate c:
4c + 3p - 3p = 84 - 3p
4c = 84 - 3p
Now divide by 4:
| 4c | |
| 4 |
| = |
| 84 - 3p |
| 4 |
Plug Revised Equation 2 value into c:
1(c) + p = 25
1 * ((84 - 3p)/4) + p = 25
((84 - 3p)/4) + p = 25
Multiply equation 1 through by 4
4 * (((84 - 3p)/4) + p = 25)
4 * (((84 - 3p)/4) + p = 25)
84 - 3p + 4p = 100
Group like terms:
-3p + 4p = 100 - 84
1p = 16
Divide each side by 1
| 1p | |
| 1 |
| = |
| 16 |
| 1 |
| p = | 16 |
| 1 |
p = 16
Plug this answer into Equation 1
1c + 1(16) = 25
1c + 16 = 25
1c = 25 - 16
1c = 9
Divide each side by 1
| 1c | |
| 1 |
| = |
| 9 |
| 1 |
| c = | 9 |
| 1 |
c = 9
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