Question

3x-2y=18 and 2x+3y=-1 find xy

Answer 1

Answer:

3x-2y=24 _____ (1)

2x-3y=18 _____ (2)

multiply (1) by 2

6x - 4y = 48

multiply (2) by 3

6x-9y=54

subtracting

6x - 4y = 48

6x - 9y = 54

- + -

___________

5y = -6

y=−

5

−6

3x−2(−

5

6

)=24

=3x+

5

12

=24

=3x=24−

5

12

=

5

120−12

=

5

108

∴x=

5

36

x+y=

5

36−6

=

5

30

=6

x−y=

5

36+6

=

5

42

Answer 2

Answer:

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Step-by-step explanation:

3x-2y=24 _____ (1)

2x-3y=18 _____ (2)

multiply (1) by 2

6x - 4y = 48

multiply (2) by 3

6x-9y=54

subtracting

6x - 4y = 48

6x - 9y = 54

-     +    -

___________

5y = -6

y=−  

5

−6

​  

 

3x−2(−  

5

6

​  

)=24

=3x+  

5

12

​  

=24

=3x=24−  

5

12

​  

=  

5

120−12

​  

=  

5

108

​  

 

∴x=  

5

36

​