Question

9y + 6xy = 30; x = -6 Solve the equation for y. Then find the value of y for the given value of x.

Answer 1

>>>
`\sf{ ( - 10)/( \: \: \: 9) }`

Explanation:

Given ,

• 9y + 6xy = 30

• Value of x that is -6

We have to find ,

• Value of y

Solution :

`\longmapsto \: \: \: \sf{9y + 6xy = 30}`

Substituting value of x i.e. -6 in equation :

`\longmapsto \: \: \: \sf{9y + 6( \bold{- 6})y = 30}`

`\longmapsto \: \: \: \sf{9y - 36y = 30}`

`\longmapsto \: \: \: \sf{ - 27y = 30}`

Dividing both sides with -27 :

`\longmapsto \: \: \: \sf{ \frac{ \cancel{- 27}y}{ \cancel{27}} = \frac{ \cancel{30}}{ \cancel{27}}}`

We get ,

`\longmapsto \: \: \: \sf{ - y = (10)/(9) }`

Multiplying both sides with -1 :

`\longmapsto \: \: \: \sf{ - y * ( - 1) = (10)/(9) * ( - 1) }`

We get ,

`\longmapsto \: \: \: \underline{ \boxed{ \sf{ \bold{ y = ( - 10)/( \: \: \: 9) }}}} \: \: \: \bigstar`

• Therefore, value of y is "-10/9"

Verification :-

→ 9y + 6xy = 30

→ 9 (-10/9) + 6(-6)(-10/9) = 30

→ -10 -36(-10/9) = 30

→ -10 -4(-10) = 30

→ -10 + 40 = 30

→ 30 = 30

→ LHS = RHS

→ Hence, Verified

• Therefore, answer is correct

Hope, it'll help you!! :)

Answer 2

9y+6(-6)y=30
9y-36y=30
-27y=30
y= -10/9