2x -6y = 5
x+y=2
Solve the system of equations.
(17, -15)
(17/8, -18)
no solution

(17/8, -1/8)

Step-by-step explanation:

the bottom equation is equivalent to x = 2-y

so I switch the value of x in the top equation to x = 2-y

and it becomes 2*(2-y) - 6y = 5

equal to 4 - 2y - 6y = 5

-8y = 1

y = -1/8

then you substitute this value in the second equation

x + y = 2 becomes x + (-1/8) = 2  

x = 2 + 1/8 = 16/8 + 1/8 = 17/8

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x