SOLUTION: 3/5 = y+1/20 = 18/m Find the value of y and m

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 3/5 = y+1/20 = 18/m Find the value of y and m      Log On


   



Question 189754: 3/5 = y+1/20 = 18/m
Find the value of y and m

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let's deal with the 1st part of the eqn:
highlight%283%2F5+=+%28y%2B1%29%2F20%29+=+18%2Fm+
cross multiply,
y%2B1=%283%2F5%29%2820%29=60%2F5=12
y=12-1
highlight%28y=11%29

Next part of the eqn:
highlight%283%2F5%29+=+%28y%2B1%29%2F20+=+highlight%2818%2Fm%29
3%2F5=18%2Fm, cross multiply
3m=18%2A5=90 ----> cross%283%29m%2Fcross%283%29=cross%2890%2930%2Fcross%283%29
highlight%28m=30%29

Let us check by susbtituting values to our eqn:
3%2F5+=+%28y%2B1%29%2F20+=+18%2Fm+
3%2F5=%28highlight%2811%29%2B1%29%2F20=18%2Fhighlight%2830%29
3%2F5=12%2F20=18%2F30system%283%2F5=red%28a%29%2C12%2F20=red%28b%29%2C18%2F30=red%28c%29%29

Divide red%28b%29 both by 4, and red%28c%29 by 6 to reduce:
3%2F5=cross%2812%293%2Fcross%2820%295=cross%2818%293%2Fcross%2830%295
3%2F5=3%2F5=3%2F5

Thank you,
Jojo