Slove for X and Y Please.

y   =   3x + 10

 

 

3x + 2y   =   16

                                       Since  y = 3x + 10  we can replace  y  with  3x + 10

3x + 2(3x + 10)  =  16

                                       Distribute  2  to the terms in parenthesees

3x  +  6x + 20   =   16

                                       Combine  3x  and  6x  to get  9x

9x  +  20   =   16

                              Subtract  20  from both sides of the equation

9x   =   -4

                              Divide both sides of the equation by  9

x   =   -4/9

 

Now that we know  x  we can plug this back into the first equation to find  y

 

y   =   3x + 10   =   3(-4/9) + 10   =   -4/3 + 10   =   26/3

 

So the solution to the system of equations is  (-4/9, 26/3)

 

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