You work at a bakery, and sell cookies and cupcakes. you can only sell at most 60 baked goods combined. cookies cost $2 each, and a cupcake $3 each. you want to earn at least $100. write a system of linear inequalities to determine how many cookies and cupcakes can be sold.

x+y ≤60

2x+3y ≥ 100

Step-by-step explanation:

Let x represents the number of cookies and y represents the number of cupcakes.

Given : You can only sell at most 60 baked goods combined. Cookies cost $2 each, and a cupcake $3 each. You want to earn at least $100.

Cost of x cookies = 2x

Cost of y cupcakes = 3y

i.e. Inequality For Quantity : x+y ≤60

Inequality For cost : 2x+3y ≥ 100

Now, a system of linear inequalities to determine how many cookies and cupcakes can be sold will be :

x+y ≤60

2x+3y ≥ 100

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions