so let be the x - the cost of one night´s lodging and let be -the y - the cost of a meal now solve them so x is the meal and y night spend puting values 3 x + 6 y = 132 3 x + 2 y = 109 / * (-1) ----------------------------- 3 x + 6 y = 132 -3 x - 2 y = - 109 ----------------------- 4 y = 23 solving for y y = 5.75 now for x 3 x + 34.50 = 132 3 x = 97.50 x = 97.50 : 3 so x = $32.50 <span>The cost of one night´s lodging is $32.50. hope it helps</span>
= 6.7082