Solve the equation 6xy5 for y Substitute the resulting expre

Solve the equation 6x+y=5 for y. Substitute the resulting expression into the equation 2x+8y=2 and obtain an equation involving only x. This equation is:

A. 38x=-28

B. 42x=48

C. -46x=42

D. -46x=-38

E. none of the above

Solution

From 6x+y=5

y = 5 - 6x

Putting this in 2x+8y=2

2x + 8 (5 - 6x) = 2

2x + 40 - 48x = 2

-46x + 38 = 0

-46x = -38

x = 38/46

x = 19/23