i need answers.

Question

Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50. Solve the System.

Answer 1

20x + 40y = 61.00

30x + 30y = 64.50

60x + 120y = 183.00 top multiplied by 3

60x + 60y = 129.00 bottom multiplied by 2

60y = 54 subtract bottom from top

y = 0.90

Can you determine x and answer?

Answer 2

X = Cupcakes

Y = Cookies

1) 20x+40y=61

2) 30x+30y=64.50

Solve for one of the variable. I will solve expression 1 for variable x

20x+40y=61

20x=61-40y

x=(61/20) - (2y)

Now that we have isolated a variable we can plug in this x expression into equation 2

30x+30y=64.50

30((61/20)-2y)+30y=64.50

(183/2) - 30y = 64.50

y=0.9

now that we have y we can use it to solve for x

30x+30(0.9)=64.50

x=1.25