Use the elimination method to solve:
2x - 4y = 6
x + y = 8
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 * (2x-4y=6) --> 2x - 4y = 6
Step 2: Multiply Equation 2 by 2:
2 * (x+y=8) --> 2x + 2y = 16
Step 3: Equation 1 - Equation 2:
2x - 4y = 6 - (2x + 2y = 16)
-(2x + 2y = 16)
-4y - 2y = 6 - 16
Step 4: simplify and solve for y:
-6y = -10
| y = | -10 |
| -6 |
y = 1.6666666666667
Step 5: Rearrange Equation 1 to solve for x:
2x = 6 - -4y
Divide each side by 2
| 2x | |
| 2 |
| = |
| 6 - -4y |
| 2 |
| x = | 6 - -4y |
| 2 |
Step 6: Plug y = 1.6666666666667 into equation 1:
| x = | 6 - -4(1.6666666666667) |
| 2 |
| x = | 6 - -6.6666666666667 |
| 2 |
| x = | 12.666666666667 |
| 2 |
x = 6.3333333333333
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