Use the elimination method to solve:
a + s = 324
7a + 3s = 1228
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 7:
7 * (a+s=324) --> 7a + 7s = 2268
Step 2: Multiply Equation 2 by 1:
1 * (7a+3s=1228) --> 7a + 3s = 1228
Step 3: Equation 1 - Equation 2:
7a + 7s = 2268 - (7a + 3s = 1228)
-(7a + 3s = 1228)
7s - 3s = 2268 - 1228
Step 4: simplify and solve for s:
4s = 1040
| s = | 1040 |
| 4 |
s = 260
Step 5: Rearrange Equation 1 to solve for a:
1a = 324 - 1s
Divide each side by 1
| 1a | |
| 1 |
| = |
| 324 - 1s |
| 1 |
| a = | 324 - 1s |
| 1 |
Step 6: Plug s = 260 into equation 1:
| a = | 324 - 1(260) |
| 1 |
| a = | 324 - 260 |
| 1 |
| a = | 64 |
| 1 |
a = 64
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