Answer
y = 50
↓Steps Explained:↓
Use the elimination method to solve:
y + n = 150
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 1:
1 * (3y+n=250) --> 3y + 1n = 250
Step 2: Multiply Equation 2 by 3:
3 * (y+n=150) --> 3y + 3n = 450
Step 3: Equation 1 - Equation 2:
3y + 1n = 250 - (3y + 3n = 450)
-(3y + 3n = 450)
1n - 3n = 250 - 450
Step 4: simplify and solve for n:
-2n = -200
| n = | -200 |
| -2 |
n = 100
Step 5: Rearrange Equation 1 to solve for y:
3y = 250 - 1n
Divide each side by 3
| 3y | |
| 3 |
| = |
| 250 - 1n |
| 3 |
| y = | 250 - 1n |
| 3 |
Step 6: Plug n = 100 into equation 1:
| y = | 250 - 1(100) |
| 3 |
| y = | 250 - 100 |
| 3 |
| y = | 150 |
| 3 |
y = 50
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