One number is 5 times as large as another. The sum of their reciprocals is 42/5. Find

Answer 1

5x=y Checking answer on second equation

x^-1 + y^-1 = 42/5 LS: x^-1 +y^-1 RS: 42/5

= (1/7)^ -1 + (5/7)^-1

x^-1 + 1/5x = 42/5 = 7+7/5 LS= RS

1/x + 1/5x =42/5 *(5x) x cannot be 0 (domain) = 42/5

5+1= 42x

x= 6/42

x= 1/7

5x= y

y= 5*1/7

y= 5/7