Question

Is 5x+7=x-2 a one solution?

Answer 1

Answer:

Yes, it only has 1 solution.

Step-by-step explanation:

The solution to 5x+7=x-2 is -2 1/2, therefore, there is only 1 solution.

If you want to know how to get  -2 1/2, keep reading.

First, we must isolate the variable 'x.' To do so, we need to move all the x's to one side and all the constants or other terms to the other. First, lets move our x from the right side of the equal side to the right, and then our 7 from the left side to the right.

Remember, if you want to move a number to the other side of an equation, the neg./pos. signs have to change. If we move a positive 'x' to the other side, it will become negative. The same principle applies to the 7.

Let's swap them.

5x -x = -2 -7

Now we can simplify.

4x = -9

We're not done yet! we till have to fully isolate the 'x.' Now, we divide 4x by 4 to get rid of the 4. If we do something to one side, we have to do the same thing to the other. So, we need to divide both sides by 4.

4x/4 = -9/4

x = -9/4

x = -2 1/2

Hope this was helpful! Let me know if you have any other questions. :)

Answer 2

5x-x=-2-7
4x=-9
x=2/3 or x=-2/3
Since there are 2 answers, it is not one solution.