HELP WILL GIVE BRAINLIEST AND 35 POINTS!!!
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.

Respuesta :

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Let y= be the number

x = other number

y =2x+3

y = 2(x+1)

Set the two equations equal

2x+3 = 2(x+1)

2x+3 =2x+2

Subtract 2x from each side

3 =2

This is never true so there are no solutions

Answer:

Third option

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Let n be the smaller number and N be the larger number

N = 2n + 3

N = 2(n + 1)

2n + 3 = 2n + 2

3 = 2 is a false statement

So, no solution