Answer
f = 7.5
Steps Explained:
Use the elimination method to solve:
15f + 6i = 240
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 15:
15 * (12f+8i=260) --> 180f + 120i = 3900
Step 2: Multiply Equation 2 by 12:
12 * (15f+6i=240) --> 180f + 72i = 2880
Step 3: Equation 1 - Equation 2:
180f + 120i = 3900 - (180f + 72i = 2880)
-(180f + 72i = 2880)
120i - 72i = 3900 - 2880
Step 4: simplify and solve for i:
48i = 1020
| i = | 1020 |
| 48 |
i = 21.25
Step 5: Rearrange Equation 1 to solve for f:
12f = 260 - 8i
Divide each side by 12
| 12f | |
| 12 |
| = |
| 260 - 8i |
| 12 |
| f = | 260 - 8i |
| 12 |
Step 6: Plug i = 21.25 into equation 1:
| f = | 260 - 8(21.25) |
| 12 |
| f = | 260 - 170 |
| 12 |
| f = | 90 |
| 12 |
f = 7.5
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