Question

1) solve the simultaneous equation: 2x+3y-
17=0 and 3x-2y-6=0​

Answer 1

Answer:

x+y=12

x-y=5

Step-by-step explanation:

2x+3y-17=0

2x+3y=0+17

2x+y=17-3

2x+y=14

x+y=14-2

x+y=12

3x-2y-6=0

3x-2y=0+6

3x-y=6+2

3x-y=8

x-y=8-3

x-y=5

Answer 2

Step-by-step explanation:

2x+3y-17=0

Multiplying 3 to both the sides:

3(2x+3y-17)=3×0

=>6x+9y-51=0

=>6x+9y=51.......(1)

3x-2y-6=0

Multiplying 2 to both the sides:

2(3x-2y-6)=2×0

=>6x-4y-12=0

=>6x-4y=12.........(2)

Subtracting (2) from (1):

6x+9y-6x+4y=51-12

=>13y=39

=>y=3

From (1)

6x+9×3=51

=>6x=51-27

=>x=4