Question

2x+3y=7 and 6x+9y=23 solve by substitution method

Answer 1

Hey!!

2x + 3y = 7-------(1)

6x + 9y = 23------(2)


From eq'n (1)

2x + 3y = 7

=> 2x = 7 - 3y

=> x = 7 - 3y / 2-----------(3)

Substitute eq'n (3) in eq'n (2)

6x + 9y = 23

=> 6( 7 - 3y / 2 ) + 9y = 23

=> 42 - 18y + 18y = 46

=> y = 46 - 42

=> y = 4

From eq'n (3)

x = 7 -3y / 2

=> x = 7 - 3 ( 4 ) / 2

=> x = 7 - 12 / 2

=> x = - 5 / 2

Therefore the value of x = - 5 / 2 and y = 4

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