Use the elimination method to solve:
a + b = 88
13a + 17b = 128
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 13:
13 * (a+b=88) --> 13a + 13b = 1144
Step 2: Multiply Equation 2 by 1:
1 * (13a+17b=128) --> 13a + 17b = 128
Step 3: Equation 1 - Equation 2:
13a + 13b = 1144 - (13a + 17b = 128)
-(13a + 17b = 128)
13b - 17b = 1144 - 128
Step 4: simplify and solve for b:
-4b = 1016
| b = | 1016 |
| -4 |
b = -254
Step 5: Rearrange Equation 1 to solve for a:
1a = 88 - 1b
Divide each side by 1
| 1a | |
| 1 |
| = |
| 88 - 1b |
| 1 |
| a = | 88 - 1b |
| 1 |
Step 6: Plug b = -254 into equation 1:
| a = | 88 - 1(-254) |
| 1 |
| a = | 88 - -254 |
| 1 |
| a = | 342 |
| 1 |
a = 342
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