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kirill [66]
2 years ago
11

Find the values of x and y which satisfy the following equations

Mathematics
1 answer:
goblinko [34]2 years ago
8 0

Answer:

Step-by-step explanation:

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9 burgers and 1 doughnut cost $31.30. 3 doughnuts and 6 burgers cost $26.70. Find the cost of 2 burgers.​
kirill [66]

Step-by-step explanation:

Let assume that

Cost of 1 burger = $ x

Cost of 1 doughnuts = $ y

According to statement, 9 burgers and 1 doughnut cost $ 31.30

\begin{gathered}\sf \: 9x + y = 31.3 \\ \\ \end{gathered}

\begin{gathered}\sf\implies \sf \: y = 31.3 - 9x - - - (1) \\ \\ \end{gathered}

According to statement again, 3 doughnuts and 6 burgers cost $ 26.70

\begin{gathered}\sf \: 6x + 3y = 26.7 \\ \\ \end{gathered}

\begin{gathered}\sf \: 3(2x + y) = 26.7 \\ \\ \end{gathered}

\begin{gathered}\sf \: 2x + y = 8.9 \\ \\ \end{gathered}

On substituting the value of y from equation (1), we get

\begin{gathered}\sf \: 2x + 31.3 - 9x = 8.9 \\ \\ \end{gathered}

\begin{gathered}\sf \: 31.3 - 7x = 8.9 \\ \\ \end{gathered}

\begin{gathered}\sf \: - 7x = 8.9 - 31.3 \\ \\ \end{gathered}

\begin{gathered}\sf \: - 7x = - 22.4 \\ \\ \end{gathered}

\begin{gathered}\bf\implies \: x = 3.2 \\ \\ \end{gathered}

So,

Cost of 2 burgers = 3.2 × 2 = <u>$ 6.4</u>

5 0
1 year ago
Read 2 more answers
I need to solve the three representations (the table, rule/equation, and the graph)
Hitman42 [59]
Figure #5 shows 5 squares which I would assume means (5, 5)
In the table you have the point (3, 7)
From this you can find the slope: (7 - 5)/(3 - 5) = -1 
Completions of table:
x     y
0   10
1     9
2     8
3     7
4     6
5     5
6     4

Rule/Equation:
y = -x + 10

Graph: Plot the ordered pairs from the table

3 0
3 years ago
Ribbon candy costs $2.50 per oot. how many can you buy if you have $11.25?
ryzh [129]

Answer: 4 times

Step-by-step explanation:

2.50 x 4 = 10

I tried different numbers

5 0
3 years ago
A number multiplied by -8, subtracted from the sum of 14 and five times the number
Charra [1.4K]

Let us suppose the number is x. Now we try to make an algebraic expression going step by step.

Step 1:

Five times the number means 5 multiplied by x.

So it becomes 5x.

Step 2:

Sum of 14 and five times the number means 5x+14.

Step 3:

Number multiplied by -8 means -8x.

Step 4:

Subtract the expression in step (3) from expression in step (2)

5x+14-(-8x)

Now we can simplify it further,

5x+14+8x

Combining like terms,

13x+14

Answer: The final expression becomes 13x+14.

7 0
3 years ago
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Sue read 129 pages. Mary read 74 pages. How many more pages did Sue read than Mary?
Ber [7]

sue read 55 more pages then mary

7 0
3 years ago
Read 2 more answers
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