Use the elimination method to solve:
10v + 6b = 276
5v + 2b = 117
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 5:
5 * (10v+6b=276) --> 50v + 30b = 1380
Step 2: Multiply Equation 2 by 10:
10 * (5v+2b=117) --> 50v + 20b = 1170
Step 3: Equation 1 - Equation 2:
50v + 30b = 1380 - (50v + 20b = 1170)
-(50v + 20b = 1170)
30b - 20b = 1380 - 1170
Step 4: simplify and solve for b:
10b = 210
| b = | 210 |
| 10 |
b = 21
Step 5: Rearrange Equation 1 to solve for v:
10v = 276 - 6b
Divide each side by 10
| 10v | |
| 10 |
| = |
| 276 - 6b |
| 10 |
| v = | 276 - 6b |
| 10 |
Step 6: Plug b = 21 into equation 1:
| v = | 276 - 6(21) |
| 10 |
| v = | 276 - 126 |
| 10 |
| v = | 150 |
| 10 |
v = 15
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