Question

A deli offers a sandwich and two side orders for $7.50. A group of office workers orders 4 sandwiches and 3 side orders for

$22.50. A second group of office workers orders 5 sandwiches and 5 side orders for $30. The two systems of equations below
represent the situation for each group of office workers, where x represents the cost of a sandwich and y represents the cost of
a side order.
First System
x+2y = 7.5
4x + 3y = 22.5
Second System
x + 2y = 7.5
5x + 5y = 30
Part A:
On the coordinate plane below, plot the solution to the first system of equations.

Answer 1

Answer: (4.5, 1.5)

Step-by-step explanation: To plot the solution to the first system of equations, we first need to solve for x and y.

We can start by using the first equation to isolate x:

x = 7.5 - 2y

Now we can substitute this expression for x into the second equation and solve for y:

4(7.5 - 2y) + 3y = 22.5

30 - 8y + 3y = 22.5

-5y = -7.5

y = 1.5

Now that we have found the value of y, we can substitute it back into our expression for x:

x = 7.5 - 2(1.5)

x = 4.5

So the solution to the first system of equations is (4.5, 1.5). ;)