Question

The sum of two numbers is 0. 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. Which equations represent this situation?

Answer 1

Answer:

x+y=0 and 3x-2y=10

Step-by-step explanation

Let the numbers be x and y.

The sum of the two numbers is 0

$\implies \: x + y =0$

Letting the smaller number be y and the

larger number be x:

twice the smaller number

$\implies \: 2y$

Also, 3 times the larger number

$\implies \: 3x$

Now ,twice the smaller number subtracted from 3 times the larger number is 10.

$\implies \: 3x - 2y = 10$

Therefore the equations are

$x + y =0$

and

$3x - 2y =10$