Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

At Freddy's, three steak burgers and two orders of fries cost $18. Two steak burgers and three orders of fries cost $15.75. What is the cost for one steak burger? What is the cost of one order of fries? Write a system of equations and then solve by the method of your choice. ​

Sagot :

The cost for one steak burger is $4.5. The price/ The cost of one order of fries is $2.25

Solution

Let one steak burger cost $x

and one fries order cost $y

Hence, we have

3x+2y = 18-----------1

2x+3y = 15.75-------2

Let us solve the equation simultaneously

multiply equation 1 by 2 and equation 2 by 3

6x + 4y = 36 ---------3

6x +  9y = 47.25 ----4

subtraction 4 from 3 we have

0x -5y = -11.25

Divide both sides by -5

y = 11.25/5

y = $2.25

Put y = 2.25 in equation 1 to find x

3x+2(2.25) = 18-----------1

3x + 4.5 = 18

3x = 18 -4.5

3x = 13.5

x = 13.5/3

x = $4.5

Learn more about Algebra here:

https://brainly.com/question/12602543