Question

8x+5y=9,3x+2y=4 solve in elimination method ​

Answer 1

Step-by-step explanation:

8x-5y=-9

3x+5y=-2  

Add the two equations  

8x-5y+3x+5y=-9-2  

11x=-11

x= -11/11  

x=-1  

8x-5y=-9  

-8-5y=-9  

-5y=-9+8  

y=-1/5

(OR)

8x +5y =9

Subtract 8x both sides we get

5y  = 9 – 8x

Divide by 5

 Y = (9 – 8 x)/5 …(3)

Plug this value of y in equation second we get

3x +2y =4

3x  + 2(9 – 8 x)/5) = 4

Multiply by 5 we get

15 x  + 18  - 16 x  = 20

-x  = 2

X = - 2

Plug this value back in equation (3) we get  

Y = (9- 8(-2))/5

Y = 25/5

Y = 5