How do I find the intersection of

Question

y=1/-4x +2 and y= 3/2x - 5. Please show steps or explain?

Answer 1

The equations are 

y=1/-4x +2 - - - - >(1)

y= 3/2x - 5 - - - - >(2)

make (1) = (2) 

(-1/4) x + 2 = (3/2) x - 5

(-1 / 4) x -(3 / 2) x = - 5 - 2

( - x - 6x ) / 4  = -7

-7x / 4 = - 7

-7x = -28

x = 4. 

Substitute x = 4 in (2)

y =  (3 / 2)x - 5

y = (3/ 2) (4) - 5

y = 1.

So, the point of intersection is (4 , 1) .