Determine the solution of the system. show your work y=5x-9 y=2x +6

Hi Brainiac

y= 5x-9

y= 2x+6

We need to solve y=5x-9 for y

Let's start by substitute 5x-9 for y in y=2x+6

y=2x+6

5x-9=2x+6

Add -2x to both sides

5x-9-2x=2x+6-2x

3x-9=6

Now add 9

3x-9+9= 6+9

3x=15

Now divide both sides by 3 so we find the value for x

3x/3= 15/3

x= 5

Now we have x :)

We gonna find the value for y by substitute  5 for x in y=5x-9

y=5x-9

y= 5(5)-9

y=25-9

y= 16

Final answer : x= 5 and y=16

                         (5,16)

It was my pleasured to help you :0 Good night.

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Step-by-step explanation:

just folloe