Question

solve the following simultaneous equations using cramer's rule 3x-2y=3 ; 2x +y =6

Answer 1

3x-2y=3 ( equation no 1)
2x+y=6 (equation no 2)

equation 1 + equation 2× 2

3x-2y=3
4x+2y=12
7x = 15
x=15/7

put the value of x in equation (2)

2×15/7 + y = 6

30/7+y/7 = 6

30+y = 6×7

y=42-30

y=12

The value of x=15/7 and y=12

Answer 2

Step-by-step explanation:

3x-2y=3 equation 1

2x+y=6 equation 2

equation 1+equation 2×2

3x-2y=3

4y+2y=12

7x=15

x=15\7

put the value of x in equation 2

2(15/7)+y=6

30/7+y/7=6

30+y=6×7

y=42-30

y=12

there fore the value of x=15/7 and y=12