Use the elimination method to solve:
0.08x + 0.2y = 54
x + y = 450
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 1:
1 * (0.08x+0.2y=54) --> 0.08x + 0.2y = 54
Step 2: Multiply Equation 2 by 0.08:
0.08 * (x+y=450) --> 0.08x + 0.08y = 36
Step 3: Equation 1 - Equation 2:
0.08x + 0.2y = 54 - (0.08x + 0.08y = 36)
-(0.08x + 0.08y = 36)
0.2y - 0.08y = 54 - 36
Step 4: simplify and solve for y:
0.12y = 18
| y = | 18 |
| 0.12 |
y = 150
Step 5: Rearrange Equation 1 to solve for x:
0.08x = 54 - 0.2y
Divide each side by 0.08
| 0.08x | |
| 0.08 |
| = |
| 54 - 0.2y |
| 0.08 |
| x = | 54 - 0.2y |
| 0.08 |
Step 6: Plug y = 150 into equation 1:
| x = | 54 - 0.2(150) |
| 0.08 |
| x = | 54 - 30 |
| 0.08 |
| x = | 24 |
| 0.08 |
x = 300
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