This should be a basic system of equations problem ------------- 12x + 4y = 152 32x + 12y =420 ----------------------- First solve 12x + 4y = 152 for x Add -4y to each side 12x+4y+-4y=152+-4y 12x=-4y+152 ---------------------------- Divide each side by 12 12x ÷ 12 = [tex] \frac{-4y+152}{12} [/tex] x = -1/3y + 38/3 ============================================================ Substitute -1/3y + 38/3 for x in 32x+12y=420 32(-1/3y + 38/3)+12y=420 ------------- Simplify each side 4/3y + 1216/3 = 420 ------------------- Add -1216/3 on each side 4/3y + 1216/3 + -1216/3 = 420 + -1216/3 4/3y = 44/3 ------------------------- Divide each side by 4/3 4/3y ÷ 4/3 = 44/3 ÷ 4/3 y = 11 y = 11 is your answer
