Question

Which equation represents a nonlinear function?
x(y – 5) = 2
y – 2(x + 9) = 0
3y + 6(2 – x) = 5
2(y + x) = 0

Answer 1

Lets analyze the equations :

1) x(y - 5) = 2

Opening the brackets.

xy - 5x = 2

Given we have xy the equation is not linear.

2) y - 2(x + 9) = 0

y - 2x - 18 = 0

Y = 2x + 18

This is linear

3) 3y + 6(2 - x) = 5

3y + 12 - 6x = 5

3y = 5 - 12 + 6x

3y = 6x - 7

Y = 2x - 7/3

This is linear

4) 2(y + x) = 0

2y + 2x = 0

2y = - 2x

y = - x

This is linear.

Answer 2

Thank you for asking this question:

1) x(y - 5) = 2

Opening the brackets.

xy - 5x = 2

Given we have xy the equation is not linear.

2) y - 2(x + 9) = 0

y - 2x - 18 = 0

y = 2x + 18

This is linear

3) 3y + 6(2 - x) = 5

3y + 12 - 6x = 5

3y = 5 - 12 + 6x

3y = 6x - 7

y = 2x - 7/3

This is linear

4) 2(y + x) = 0

2y + 2x = 0

2y = - 2x

y = - x

So this means that this is linear.