Đáp án:
Giải thích các bước giải:
`1.`
`2x=3y⇒x/3=y/2`
`DTSBN:`
`x/3=y/2=\frac{x+y}{3+2}={10}/5=2`
`⇒x=2.3=6`, `y=2.2=4`
`2.`
`3x=5y⇒x/5=y/3`
`DTSBN:`
`x/5=y/3=\frac{x+y}{5+3}={40}/8=5`
`⇒x=5.5=25`, `y=5.3=15`
`3.`
`4x=3y⇒x/3=y/4`
`DTSBN:`
`x/3=y/4=\frac{x-y}{3-4}={-1}/{-1}=1`
`⇒x=1.3=3`, `y=1.4=4`
`4.`
`-2x=5y⇒x/5=y/{-2}`
`DTSBN:`
`x/5=y/{-2}=\frac{x+y}{5-2}={30}/3=10`
`⇒x=10.5=50`, `y=10.(-2)=-20`
`5.`
`3x=4y⇒x/4=y/3`
`DTSBN:`
`x/4=y/3={2x}/8={3y}/9=\frac{2x+3y}{8+9}={34}/{17}=2`
`⇒x=2.4=8`, `y=2.3=6`
`6.`
`4x=5y⇒x/5=y/4`
`DTSBN:`
`x/5=y/4={3x}/{15}={2y}/8=\frac{3x-2y}{15-8}={35}/7=5`
`⇒x=5.5=25`, `y=5.4=20`
Chúc bạn học tốt!!!