The sum of two numbers is 0. twice the smaller number subtracted from 3 times the larger number is 10. let x represent th larger number and y represent the smaller number which equations represent this situation?

The sum of two numbers is zero.
x + y = 0
y = -x

Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

Twice the smaller number subtracted from 3 times the larger number is 10. 
3x - 2y = 10

-2y = -3x + 10

y = 3/2 x - 5

The equations are:

y = -x
y = 3/2 x - 5

The answer is the first choice.

-10 + 10 = 0

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

3x-2y =10
3x-2(0-x)=10
3x-0 -2x=10
x=10

y=0-10 y = -10 FIRST ANSWER

This equation is not liner because the equation is not a straight line. At the point (0, 23) the equation bends.