Question

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

Answer 1

Answer:

(17/8, -1/8)

Step-by-step explanation:

$\left \{ {{2x-6y=5} \atop {x+y=2}} \right.$    

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