Posted by **Tamia** on Friday, May 18, 2007 at 10:38am.

Please help to find x, y

1. 8x-y=17

6x+y=11

2. 5x-2y=17

2x+3y=3

Question no.1

8x-y=17

6x+y=11 (adding the equation)

__________ (-y and +y will be 0)

14x =28

Taking variables to one side

x=28

__

14

14*2=28

therefore x=2

substitute this value of x in equation 2

6x+y=11

6*2+y=11

12+y=11

y=11-12

y=-1

(x=2)and (y=-1) is the solution of the given equation.

Instead of

**miley**'s suggestion, do the following:

Take the value of y in the first formula and substitute it for y in the second formula. Solve the second formula for x.

8x-y=17

-y=17-8x

y=8x-17 (Value of y)

Once x is found, solve for y in the second formula. Check by inserting both values into the first formula.

I hope this helps much more. Thanks for asking.

Question no 2

5x-2y=17 eq 1

2x+3y=3 eq 2

multiply eq 1 by 3

3*5x-3*2y=3*17

15x-6y=51 eq 3

Now multiply eq 2 by 2

2*2x+2*3y=2*3

4x+6y=6 eq 4

15x-6y=51

__________

19x =57 (adding both the equations)

x=57

___

19

x=3

substitute this value of x in eq 2

2x+3y=3

2*3+3y=3

6+3y=3

3y=3-6

3y=-3

y=-1

(x=3) and (y=-1) is the solution of the given equation.

x and the co-effecient cannot be subtracted so the substitution by adding is better

hey tamia can i know by which method are you solving the equation ?

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