help:(? how do you find the common solution for this equation

Question

Y=x-1.   Y=2x-5

Answer 1

Hello, again, Stephanie,

 

The best way to tis problem is make them equal to each other.

 

y=x-1 and y=2x-5

 x-1=2x-5

   +5    +5

 x+4=2x  

-x      -x

    4=x  

 

Glad to help out.. take care.

 

D. Y. Taylor

Answer 2

Hi Stephanie

 

The first step is to set these two equations equal to one another.

 

With that said:

 

We will set x-1 equal to 2x-5, like so...

 

x-1 = 2x-5

 

Our next step is to solve algebraically for x!

 

There are a couple different ways to approach this problem, so keep in mind that my way of solving is NOT the only way.

 

I will add 5 to both sides of the equation...

 

After adding 5 to both sides we now have the equation x+4 = 2x.

 

I will now subtract x, or 1x, from both sides of the equation...

 

After subtracting x from both sides we now have 4 = x and we have found our solution.

 

To check our answer, we will substitute the value of 4 into the original equation; x-1 = 2x-5.

 

Checking our solution we get...

 

(4) - 1 = 2(4) - 5 --> 3 = 8 - 5 --> 3 = 3.

 

Since 3 = 3, our solution of x = 4 is correct.

Answer 3

Since y equals each of the expressions, you can set the expressions equal to each other.

 

y = x - 1 and y = 2x - 5

 

x - 1 = 2x - 5 

Add -x to each side

- 1 = x - 5

Add 5 to each side

x = 4

Use the equation y = x - 1 to determine 'y'

y = x - 1    so y = 4 - 1     so   y = 3

Check by using the other equation, y = 2x - 5

y = 2x - 5      so y = 2 * 4 - 5       so y = 8 - 5         so y = 3

 

Have a good night, Stephanie.

Mary Ann