Question

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation? y = 2 x minus 3 and y = negative 2 x minus 3 y = 2 x minus 3 and y = negative one-half x minus three-halves y = 2 x + 3 and y = negative 2 x minus 3 y = 2 x + 3 and y = negative one-half x minus three-halves

Answer 1

Answer:

$2x - y = 3 - - - - - (i)$

$i) \: y = 2x - 3 \\ y = - (2x - 3) \\ y = 2x - 3 \\ y = - ( \frac{1}{2} x - \frac{3}{2} )$

$y = 2x + 3$

$y = - (2x - 3)$

$y = 2x + 3$

$y = - ( \frac{1}{2} x - \frac{3}{2} )$

$2x + y = - 3 - - - - - - (ii)$

Answer 2

2x-y=3

y = 2x-3

y= -(2x-3)

y= 2x-3

y= -(1/2x - 3/2)

y= 2x+3

y= 2x+3

y= -(1/2x- 3/2)

2x+y=-3 ... ...(ii)

This equation represents above situation