Question

2x+3y=2
4x-9y=-1
by elemination method

Answer 1

Answer:

2(2x+3y-2)=0 &4x-9y+1=0

Step-by-step explanation:

4x+6y-4=0& 4x-9y+1=0

4x+6y-4-(4x-9y+1)=0

4x+6y-4-4x+9y-1=0

6y+9y-4-1=0

15y-5=0

15y=5

y=5/15=1/3& 2x+3y=2

2x+3×1/3=2

2x+1=2

2x=2-1 ; x=1/2 &y=1/3

Answer 2

Step-by-step explanation:

Mark the above equations as eq I and II

Multiplying eq I by 2 and II by 1

4x+6y=4

4x-9y=-1

- - - (On subtracting)

_______

0-15y= 5

⇒ y= 1/3

Putting the value of y in eq II i.e. 4x-9y=1

⇒ 4x-9×1/3=-1

⇒ 4x-3=-1

⇒4x= 2

⇒x= 2/4

⇒x= 1/2

Therefore,

x= 1/2and y= 1/3