Use Elimination to solve a + s = 175 and 8a + 5s = 1028
Answer
a = 51
↓Steps Explained:↓
Use the elimination method to solve:
8a + 5s = 1028
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 8:
8 * (a+s=175) --> 8a + 8s = 1400
Step 2: Multiply Equation 2 by 1:
1 * (8a+5s=1028) --> 8a + 5s = 1028
Step 3: Equation 1 - Equation 2:
8a + 8s = 1400 - (8a + 5s = 1028)
-(8a + 5s = 1028)
8s - 5s = 1400 - 1028
Step 4: simplify and solve for s:
3s = 372
| s = | 372 |
| 3 |
s = 124
Step 5: Rearrange Equation 1 to solve for a:
1a = 175 - 1s
Divide each side by 1
| 1a | |
| 1 |
| = |
| 175 - 1s |
| 1 |
| a = | 175 - 1s |
| 1 |
Step 6: Plug s = 124 into equation 1:
| a = | 175 - 1(124) |
| 1 |
| a = | 175 - 124 |
| 1 |
| a = | 51 |
| 1 |
a = 51
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