if 2x-3y=11 and (a+b)x-(a+b-3)y=4a+b has infinite solutions find a and b
Answers
Answered by
37
Answer:
a=-9, b=3
Step-by-step explanation:
a1/a2=b1/b2=c1/c2
2/a+b = 3/a+b-3 = 11/4a+b
[by cross multiplying a1 b2 and a2 b1 we get]
2[a+b-3] = 3[a+b]
2a+2b-6 = 3a+3b
-6 = a+b ..............(1)
[by cross multiplying b1 c2 and b2 c1 we get]
3[4a+b] = 11[a+b-3]
12a+3b = 11a+11b-33
a-8b = -33 .............(2)
by adding 1 and 2 we get b=3
by substituting value of b in 1 we get
a+b = -6
a+3 = -6
a = -9
Similar questions