Question

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller number. Which equations represent the situation?
A.2x-y=-6 and 3x-y=-5
B. 2x-y=-3 and 3x-y=-5
C.2x-y=-6 and x-3y=5
D.2x-y=-3 and x-3y=5

Answer 1

Answer:option b

Step-by-step explanationthe correct equations will be :

1.y=2x +3

2.y=3x+5

Answer 2

The option (A)

A.2x-y=-6 and 3x-y=-5

is correct.

The larger number is 'y' and the smaller number is 'x'.

First relation,

'y' is equal to twice the sum of a smaller number (x) and 3. So we represent this as:

y = 2(x+3)

⇒y = 2x + 6

⇒2x - y = -6                        ...(1)

Second relation,

The larger number (y) is equal to 5 more than 3 times the smaller number (x). So we represent this as:

y = 5 + 3x

⇒ 3x - y = -5                       ...(2)

By analysing (1) and (2), the final two equations are:

2x - y = -6 and 3x - y = -5  

So, option (A) is correct.