Question

Find four solutions for the following equations 3x + 2y = 6 and 5x − 2y = 10. Also find whether they have any common solutions.

Answer 1

Answer:

3x−2y=7......(i)

xy=20..........(ii)

From (ii)

y=

x

20

Substituting in (i)

3x−

x

40

=7

3x

2

−40=7x

3x

2

−7x−40=0

3x

2

−15x+8x−40=0

3x(x−5)+8(x−5)=0

(3x+8)(x−5)=0

x=−

3

8

,5

Substituting in (ii)

For x=−

3

8

y=

−

3

8

20

=−

2

15

For x=5

y=

5

20

=4

So the solutions of given equations are x=5,−

3

8

;y=4,−

2

15

.

Answer 2

Answer:

this answer will help you