Question

Solve 7y 4/y 2 = -4/3

Answer 1

`\\ \sf\longmapsto (7y+4)/(y+2)=(-4)/(3)`

`\\ \sf\longmapsto 3(7y+4)=-4(y+2)`

`\\ \sf\longmapsto 21y+12=-4y-8`

`\\ \sf\longmapsto 21y+4y=-8-12`

`\\ \sf\longmapsto 25y=-20`

`\\ \sf\longmapsto y=(-20)/(25)`

`\\ \sf\longmapsto y=(-4)/(5)`

Answer 2

Explanation:

(7y+4)/(y+2)=-4/3

`(7y+4)/(y+2)=(-4)/(3)\\\\`

Cross multiply,

(7y + 4) * 3 = -4*(y+ 2)

Use distributive property,

7y*3 + 4*3 = -4*y + 2*(-4)

21y + 12 = -4y - 8

Subtract 12 from both side

21y = -4y - 8 - 12

21y = -4y - 20

21y + 4y = -20

25y = -20

y = -20/25

`y=(-4)/(5)`