1. Examples
1. Solve linear equations x+y=2 and 2x+3y=4 using Graphical Method
Solution:
`x+y=2`
and `2x+3y=4`
The point of intersection of the linear equations
Consider `x+y=2`
`x`-intercept: put `y = 0,` we get `x = 2` `:.A(2,0)`
`y`-intercept: put `x = 0,` we get `y = 2` `:.B(0,2)`
Consider `2x+3y=4`
`x`-intercept: put `y = 0,` we get `x = 2` `:.C(2,0)`
`y`-intercept: put `x = 0,` we get `y = 1.33` `:.D(0,1.33)`
Intersection Point = `P(2,0)`
2. Solve linear equations 2x+7y-11=0 and 3x-y-5=0 using Graphical Method
Solution:
`2x+7y-11=0`
`:.2x+7y=11`
and `3x-y-5=0`
`:.3x-y=5`
The point of intersection of the linear equations
Consider `2x+7y=11`
`x`-intercept: put `y = 0,` we get `x = 5.5` `:.A(5.5,0)`
`y`-intercept: put `x = 0,` we get `y = 1.57` `:.B(0,1.57)`
Consider `3x-y=5`
`x`-intercept: put `y = 0,` we get `x = 1.67` `:.C(1.67,0)`
`y`-intercept: put `x = 0,` we get `y = -5` `:.D(0,-5)`
Intersection Point = `P(2,1)`
3. Solve linear equations 3x-y=3 and 7x+2y=20 using Graphical Method
Solution:
`3x-y=3`
and `7x+2y=20`
The point of intersection of the linear equations
Consider `3x-y=3`
`x`-intercept: put `y = 0,` we get `x = 1` `:.A(1,0)`
`y`-intercept: put `x = 0,` we get `y = -3` `:.B(0,-3)`
Consider `7x+2y=20`
`x`-intercept: put `y = 0,` we get `x = 2.86` `:.C(2.86,0)`
`y`-intercept: put `x = 0,` we get `y = 10` `:.D(0,10)`
Intersection Point = `P(2,3)`
4. Solve linear equations 2x-y=11 and 5x+4y=1 using Graphical Method
Solution:
`2x-y=11`
and `5x+4y=1`
The point of intersection of the linear equations
Consider `2x-y=11`
`x`-intercept: put `y = 0,` we get `x = 5.5` `:.A(5.5,0)`
`y`-intercept: put `x = 0,` we get `y = -11` `:.B(0,-11)`
Consider `5x+4y=1`
`x`-intercept: put `y = 0,` we get `x = 0.2` `:.C(0.2,0)`
`y`-intercept: put `x = 0,` we get `y = 0.25` `:.D(0,0.25)`
Intersection Point = `P(3.46,-4.08)`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
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