all these are linear equations are equivalent to 3x-4y=20 except for one:
\[a. \frac{ 3 }{ 4 }x-5\]
\[b. 8y+40=6x\]
\[c.2y=\frac{ 3 }{ 2 }x+10\]
C :P
\[d. \frac{ 1 }{ 5 }y=\frac{ 3 }{ 20 }x-1\]
@sami-21 can you kindly explain it to me? i have a big test tomorrow
sure
simplify the give equation little bit \[\huge 3x-20=4y \] divide by 4 both sides \[\Huge y=\frac{3}{4}x-5\] ( this is in fact option a )
now for option b divide the whole equation with 2 4y+20=3x or \[\Large 4y=3x-20\] divide both sides by 4 \[\Large y=\frac{3}{4}x-5\] which is again simila to a and given equation
now check option d multiply whole equation with 5 \[\Large y=\frac{3}{4}x-5\] which is also similar to previous ones
for option c divide whole equation with 2 \[\Large y=\frac{3}{4}x+5\] its different there is plus sign with 5 !!!
Still confused ?
a little bit.
ok lets look at another way we will make the original equation from option a, b and d
yayy!
option a is \[\Large y=\frac{3}{4}x-5\] multiply whole equation with 4 \[\Large 4*y=4(\frac{3}{4})x-4*5\] \[\Large 4y=3x-20\] rearrange \[\Large 3x-4y =20\] are you ok with this ? let me know if there is any confusion
i see so thats why you chose D because it has the only positive sign !
i choosed C :)
i mean c xD haha
Sorry I got to go will be back after a while .
okay sure ! thanks for the help btw
welcome :)
Join our real-time social learning platform and learn together with your friends!