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babymother [125]
3 years ago
10

Solve the system by substitution. In the space provided, type the answer without any

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

x - y = -1 ....... 1

3x + 2y = 22 ........ 2

Make x the subject in the first equation

x = -1+y

Substitute this into the second equation

3(-1+y) + 2y = 22

-3 + 3y + 2y = 22

5y = 25

Divide both sides by 5

y = 5

Substitute y = 5 into x = -1+y

x = -1+5

x = 4

x = 4 , y = 5

Hope this helps

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They sell cakes for $4 each and spent $45 for advertisement if each cake costs 80 cents to make, how many cakes do they need to
Damm [24]

Answer:

They need to sell 14 cakes to break even.

Step-by-step explanation:

The selling price of each cake = $ 4

The amount spent on the advertisement = $45

The cost of each cake  = 80 cents  =$ 0.8

Let us assume the number of cakes sold to BREAK EVEN  = m

⇒ For m cakes: TOTAL COST = TOTAL EARNED

Now, if the cost of 1 cake  = $0.8

So, the cost of making m cakes  = m X ( cost of 1 cake) = m x ( 0.8) = 0.8 m

Total Cost of m cakes  = Making cost + Advertisement cost

= 0.8 m + $45

⇒C = 0.8 m + 45  ........... (1)

Here, the selling price of 1 cake  = $4

So, the cost of selling m cakes  = m X ( Sell cost of 1 cake)

= m x ( 4) = 4 m

⇒S = 4 m  ........... (2)

To break even: S  = C  ⇒0.8 m + 45  =  4 m

or,  45 = 3.2 m

or, m = 45/3.2 =  14.06≈ 14

⇒ m  = 14

Hence, they need to sell 14 cakes to break even.

6 0
3 years ago
Please answer will give brainliest to the best answer please make sure to explain!
erica [24]
Yes he is correct. This is because if you convert all the fractions to be out of 10, the equation is 8/10 minus 5/10 equals 3/10 which is correct. if you have any more questions let me know. i hope this helps :)
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