I need answer plz

The given equations are  

12x + 4y = 152 1

32x + 12y = 420 2

Multiplying equation 1 by 3 to make  coefficient of y same we have:

36x+12y= 456

32x+12y=420

Subtracting the two equations we have:

4x=36.

Dividing by 4 both sides  

x= 9.

Substituting x value in equation 1

12(9) + 4y = 152

108+4y=152

Subtracting 108 both sides: 4y=44.

Dividing both sides by 4.

y=11.

cost of the vegetarian lunch is $11.

In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.