Question

1.which of the following has a unique solution no solution ,infinitely many solution in case there is a unique solution find it by using elimination method 1}. x - 3 y -3 =0 , 3 x - 9 y - 2 = 0 2}.2 x + y =5 , 3 x + 2 y =8 3}. 3 x - 5 y = 20 , 6 x - 10 y = 40 4}. x - 3 y - 7 = 0 , 3 x - 3 y - 15 = 0

Answer 1

Answer:

2 and 3 have unique solution

Answer 2

Answer:

a1/a2=b1/b2 does not equalc1/c2

1/3=-3/-9does not equal-3/-2

1/3=1/3does not equal-3/-2

it has no solutio

2)a1/a2does not equalb1/b2

2/3does not equal1/2

it has unique

2x+y-5=0

3x+2y-8=0

6x+3y-15=0(multiplying by3 in both side)

6x+4y-16=0( multiplying by 2in both side)

- - +

-y=1

y=-1

puting the value y in equation

2x+(-1)=5

2x-1=5

2x=5+1

2x=6

x=6/2

x=3

y=-1

3) a1/a2=b1/b2=c1/c2

3/6=-5/-10=-20/-40

1/2=1/2=1/2

it has infinitely many solution

4)a1/a2does not equalb1/b2

1/3does not equal-3/-3

it has unique solution

x-3y-7=0

3x-3y-15=0

3x-9y-21=0(multiplying by3 in both side)

3x-3y-15=0

- + +

-6y=-6

y=-6/-6

y=1

puting the value of y in equation 1

x-3*1-7=0

x-3-7=0

x-10=0

x=10

y=1