Question

If y = a + (b/x)
where a, b are real numbers, y = 1 when x = -1 and y = 5 when x = -5

then find the value of a+b.
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Answer 1

Answer:

a=6, b=5

Step-by-step explanation:

If x= -1, y= 1,

• a+(b/-1)=1
• a-b=1
• a=1+b......(i)

then, if x=-5, y=5,

• a+(b/-5)=5
• (1+b)-b/5=5
• (5+5b-b)/5=5
• 4b=(5×5)-5
• b=5......

As b=5,

a=1+5=6