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Elodia [21]
3 years ago
14

The sum of two numbers is 32. The difference between the numbers is 8. Write a system of equations to represent this situation.

Then solve the system of equations by substitution. Explain what the solution means
Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Let\: x,y\: (x>y>0)  \: be \:  the  \: two \:  numbers.\\We  \: have  \: an \:  equality:\\\begin{cases} x + y = 32\\x - y = 8 \end{cases}\\ \Leftrightarrow \begin{cases} 2x = 40\\y = x - 8 \end{cases} \\ \Leftrightarrow \begin{cases} x  = 20\\y = 20 -  8 = 12 \end{cases} \\ \Rightarrow The  \: two  \: numbers \:  are \:  2 0  \: and \:  12

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What is the value of f(-2) if f(x) = - 3x2 + 4x - 1
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