Anumber 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.

The correct answer option is: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Assuming to be a number and to be the smaller number, we can write them as:

Also, the same number is twice the sum of smaller number and 1 which can be expressed as:

Since the left hand side of both these equation is equal so we can equate them to get:

The slope of both these lines is same (2) while the y intercepts are different so there are no solutions.

The correct answer option is: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Assuming to be a number and to be the smaller number, we can write them as:

Also, the same number is twice the sum of smaller number and 1 which can be expressed as:

Since the left hand side of both these equation is equal so we can equate them to get:

The slope of both these lines is same (2) while the y intercepts are different so there are no solutions.

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

Step-by-step explanation:

Let the greater number be y and smaller number be x.

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.

=>

We can see that there cannot be any solution as there are different y intercepts. Slope of 2 in 2x is common for both equations but still this has no solution.

So, the answer is : No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

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

Step-by-step explanation:

Let the greater number be y and smaller number be x.

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.

=>

We can see that there cannot be any solution as there are different y intercepts. Slope of 2 in 2x is common for both equations but still this has no solution.

So, the answer is : No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

i am sure it will be 90 degrees.

step-by-step explanation: