1. Solve linear equations x+y=2 and 2x+3y=4 using Elimination Method
Solution:
`x+y=2`
and `2x+3y=4`
`x+y=2 ->(1)`
`2x+3y=4 ->(2)`
equation`(1) xx 2 =>2x+2y=4`
equation`(2) xx 1 =>2x+3y=4`
Substracting `=>-y=0`
`=>y=0`
Putting `y=0` in equation`(1)`, we have
`x+0=2`
`=>x=2`
`:.x=2" and "y=0`
2. Solve linear equations 2x+7y-11=0 and 3x-y-5=0 using Elimination Method
Solution:
`2x+7y-11=0`
`:.2x+7y=11`
and `3x-y-5=0`
`:.3x-y=5`
`2x+7y=11 ->(1)`
`3x-y=5 ->(2)`
equation`(1) xx 1 =>2x+7y=11`
equation`(2) xx 7 =>21x-7y=35`
Adding `=>23x=46`
`=>x=46/23`
`=>x=2`
Putting `x=2` in equation `(1)`, we have
`2(2)+7y=11`
`=>7y=11-4`
`=>7y=7`
`=>y=1`
`:.x=2" and "y=1`
3. Solve linear equations 3x-y=3 and 7x+2y=20 using Elimination Method
Solution:
`3x-y=3`
and `7x+2y=20`
`3x-y=3 ->(1)`
`7x+2y=20 ->(2)`
equation`(1) xx 2 =>6x-2y=6`
equation`(2) xx 1 =>7x+2y=20`
Adding `=>13x=26`
`=>x=26/13`
`=>x=2`
Putting `x=2` in equation `(1)`, we have
`3(2)-y=3`
`=>-y=3-6`
`=>-y=-3`
`=>y=3`
`:.x=2" and "y=3`
4. Solve linear equations 2x-7y=1 and 4x+3y=15 using Elimination Method
Solution:
`2x-7y=1`
and `4x+3y=15`
`2x-7y=1 ->(1)`
`4x+3y=15 ->(2)`
equation`(1) xx 2 =>4x-14y=2`
equation`(2) xx 1 =>4x+3y=15`
Substracting `=>-17y=-13`
`=>17y=13`
`=>y=13/17`
Putting `y=13/17 ` in equation `(2)`, we have
`4x+3(13/17)=15`
`=>4x=15-(39/17)`
`=>4x=(255-39)/17`
`=>4x=216/17`
`=>x=54/17`
`:.x=54/17" and "y=13/17`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
