Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, 

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,  

To answer this question, we can solve the equation:

This equation equals a single value; thus, the correct answer is one solution.  

Let's begin by discussing our answer choices:

In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example, 

In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example, 

In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,  

To answer this question, we can solve the equation:

This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.  

can be simplified to become

Then, you can further simplify by adding 5 and  to both sides to get .

Then, you can divide both sides by 5 to get .

To solve for , you must first combine the 's on the right side of the equation. This will give you .

Then, subtract  and from both sides of the equation to get .

Finally, divide both sides by  to get the solution .

First, combine like terms within the equation to get 

.

Then, add  and subtract  from both sides to get 

.

Finally, divide both sides by  to get the solution of .

Subtract x from both sides of the second equation.

Divide both sides by  to get .

Plug in y to the other equation.

Divide 10 by 5 to eliminate the fraction, yielding .

Distribute the 2 to get .

Add  to each side, and subtract 15 from each side to get .

Divide both sides by 7 to get , which simplifies to .

Combine like terms on the left side of the equation:

Use the distributive property to simplify the right side of the equation:

Next, move the 's to one side and the integers to the other side:

First. combine like terms to get

.

Then, add  and subtract from both sides to separate the terms.

This gives you .

Finally, divide both sides by  to get a solution of .

First, you must multiply the left side of the equation using the distributive property.

This gives you .

Next, subtract  from both sides to get .

Then, divide both sides by  to get .

In order to solve for , we need to isolate the  to one side of the equation. 

For this problem, we need to multiply each side by 

Next, we need to subtract  from each side: