Solve Equations 2x+5y=21,x+2y=8 using Elimination method
Solution:
Total Equations are `2`
`2x+5y=21 -> (1)`
`x+2y=8 -> (2)`
Select the equations `(1)` and `(2)`, and eliminate the variable `x`.
| `2x+5y=21` | ` xx 1->` | | `` | `2x` | `+` | `5y` | `=` | `21` | `` |
| | − | |
| `x+2y=8` | ` xx 2->` | | `` | `2x` | `+` | `4y` | `=` | `16` | `` |
| | |
|
| | | | | `` | `y` | `=` | `5` | ` -> (3)` |
Now use back substitution method
From (3)
`y=5`
`=>y=5`
From (2)
`x+2y=8`
`=>x+2(5)=8`
`=>x+10=8`
`=>x=8-10=-2`
Solution using Elimination method.
`x = -2,y = 5`
This material is intended as a summary. Use your textbook for detail explanation.
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