Two pairs of socks and a pair of slippers cost $30. Five pairs of socks and a pair of slippers cost $42. Let x represent the cos
t of a pair of socks and let y represent the cost of a pair of slippers. Identify the system of equations that represents the situation and identify the solution to the system of equation.
Your equation 2y = 5x + 1 is in the form of y = kx but we need to divide out the 2 from 2y so we have the following 2y = 5x + 1 2y / 2 = 5 x/ 2 + 1/2 y = 5x / 2 + 1/2 y = kx k = 5/2 k = constant of variation = 5/2