Solve Equations 2x+5y=16,3x+y=11 using Elimination method
Solution:
Total Equations are `2`
`2x+5y=16 -> (1)`
`3x+y=11 -> (2)`
Select the equations `(1)` and `(2)`, and eliminate the variable `y`.
| `2x+5y=16` | ` xx 1->` | | `` | `2x` | `+` | `5y` | `=` | `16` | `` |
| | − | |
| `3x+y=11` | ` xx 5->` | | `` | `15x` | `+` | `5y` | `=` | `55` | `` |
| | |
|
| | | `-` | `13x` | | | `=` | `-39` | ` -> (3)` |
Now use back substitution method
From (3)
`-13x=-39`
`=>-13x=-39`
`=>x=(-39)/(-13)=3`
From (2)
`3x+y=11`
`=>3(3)+y=11`
`=>y+9=11`
`=>y=11-9=2`
Solution using Elimination method.
`x = 3,y = 2`
This material is intended as a summary. Use your textbook for detail explanation.
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