Question

At which points are the equations y=x+ 5x – 2 and y= x + 1 equal?

Answer 1

Answer:  $(\frac{3}{5},\frac{8}{5})$  

Step-by-step explanation:

set them  equal each other and solve for x and y.

y= x +5x -2  is the same as y = 6x -2    

 y = x + 1  

So using the equations

y = 6x -2  

y = x + 1    

substitute the value of y in the second equation into the first equation.

x + 1  = 6x -2  now solve for x

   -1             -1

x  = 6x -3

-6x   -6x

 -5x = -3

x = 3/5  

So since x is equal to 3/5  put it into one of the equations and solve for y.

y =  3/5 + 1  

y =  8 /5