Part of $3000is invested at 12%, another at 13%, and the remainder at 14%. the total yearly income from the three investments is $400. the sun of the amounts invested at 12% and 13% equals the amount invested at 14%. determine how much is invested at each rate.

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.