Answer
Success!
x = 6.3333333333333 and y = 1.6666666666667
↓Steps Explained:↓
Use the substitution method to solve:
x + y = 8
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for x:
x + y = 8
Plug Revised Equation 2 value into x:
2(x) - 4y = 6
2 * (8 - y) - 4y = 6
16 - 2y - 4y = 6
Group like terms:
-2y - 4y = 6 - 16
-6y = -10
Divide each side by -6
| -6y | |
| -6 |
| = |
| -10 |
| -6 |
| y = | -10 |
| -6 |
y = 1.6666666666667
Plug this answer into Equation 1
2x - 4(1.6666666666667) = 6
2x - 6.6666666666667 = 6
2x = 6 - -6.6666666666667
2x = 12.666666666667
Divide each side by 2
| 2x | |
| 2 |
| = |
| 12.666666666667 |
| 2 |
| x = | 12.666666666667 |
| 2 |
x = 6.3333333333333
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