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In Substitution method, find the value of any one variable ( x or y) from one equation and put it in other equation and then solve it like a simple equation.1) Find the solution by Substitution -method 2x + y = 6 and 2x – y = -2

y = -2x + 6

Put y = -2x + 6 in equation (2)

2x – ( -2x + 6 ) = -2

2x + 2x – 6 = -2 ( use a distributive law)

4x – 6 = - 2

4x = -2 + 6

4x = 4

x = 1 |

2 + y = 6

y = 6 – 2

y = 4

Solution is

(1,4) |

_________________________________________________________________

3x + 2y + 25 = 0 and 2x + y + 10 = 0

y = -2x – 10

Put y = -2x – 10 in equation (1)

3x + 2( -2x -10) = -25

3x – 4x – 20 = -25 ( use a distributive law)

- x – 20 = -25

-x = -25 + 20

-x = -5

x = 5 |

Equation (1) ⇒ 3(5) + 2y = -25

15 + 2y = -25

2y = -25 -15

2y = - 40

y = - 20

Solution is

(5,-20) |

• Solving linear equation by graphical method.

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