Question

Solve the pair of simultaneous equation by cross multiplication method: 3x+2y-4=0 8x+5y=9

Answer 1

Answer:

8x+5y=9_____1st equation

3x+2y=4_____2nd eqtn

From 1st eqn,

8x+5y=9

8x=9-5y

x=9-5y/8

Putting value of x in 2nd eqn

3x+2y=4

3(9-5y)/8+2y=4

3(9-5y)/8+2y=4

3(9-5y)+8(2y)/8=4

3(9-5y)+8(2y)=4×8

27-15y+16y=32

27+y=32

y=32-27

y=5

Putting y=5 in 2nd eqtn

3x+2y=4

3x+2(5)=4

3x+10=4

3x=4-10

3x=-6

x=-6/3

x=-2

Therefore,x=-2 and y=5 is the solution of the given pair of linear equations