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2 years ago

Answers please and thank u

Mathematics

1 answer:

Grace [21]2 years ago

3 0

Answer:

(6,1)

Step-by-step explanation:

graph the slope y=2/3x-3

x+y=7

subtract the x

y=-x+7

new slope^

graph that starting at the point (0,7) and going down one over one {next point would be (1,6) and so forth}

select the point in which both lines intersect which would be (6,1)

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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.

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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>

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Answers please and thank u​

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