Question

2x-9y=9,5x+2y=27.find this solution by elimination method​

Answer 1

Step-by-step explanation:

x= 5 , y=1 ......

.........................

Answer 2

Answer:

Let's solve your system by elimination.

2x−9y=9;5x+2y=27

Multiply the first equation by 2,and multiply the second equation by 9.

2(2x−9y=9)

9(5x+2y=27)

Becomes:

4x−18y=18

45x+18y=243

Add these equations to eliminate y:

49x=261

Then solve49x=261for x:

49x=261

49x

49

=

261

49

(Divide both sides by 49)

x=

261

49

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−9y=9

Substitute

261

49

forxin2x−9y=9:

2(

261

49

)−9y=9

−9y+

522

49

=9(Simplify both sides of the equation)

−9y+

522

49

+

−522

49

=9+

−522

49

(Add (-522)/49 to both sides)

−9y=

−81

49

−9y

−9

=

−81

49

−9

(Divide both sides by -9)

y=

9

49

Answer:

x=

261

49

and y=

9

49

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