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Gnesinka [82]
4 years ago
12

Solve the system of equations. y = -6x + 9 y = -3x + 3

Mathematics
2 answers:
abruzzese [7]4 years ago
6 0

- 6x + 9 =  - 3x + 3 \\ 3x = 6 \\ x = 2

Substitute x = 2 into y = - 6x + 9
y =  - 6(2) + 9  \\ y =  - 12 + 9 \\ y =  - 3

Answer : x = 2, y = - 3

Hope this helps. - M
Gre4nikov [31]4 years ago
4 0
Hi there


Let y = -6x + 9 ...... ( 1 )

and y = -3x + 3 ....... ( 2 )


Putting the value of yin equation ( 2 )

-6 x + 9 = -3 x + 3

→ 3 ( -2 x + 3 ) = 3 ( - x + 1 )

→ -2x + x = 1 - 3


→ - x = - 2

→ x = 2

Now putting the value of x in equation ( 1 )

y = - 6 ( 2 ) + 9

y = -12 + 9

y = - 3


Hope it helps you

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Answer:

16

This seems to have been miswritten. So I went ahead and just put it as 50, 3 and 2   
Explanation:

Okay, so Jack started with 50 chocolates and ended with 2. 
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Using algebra, we substitute the value we want to find with x. Here what we want to find is the number of friends that were at Jack's party.

We know that he started with 50 chocolates, then distributed 3× the number of friends present (which is x). 
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We know that after this, there were only 2 chocolates left, so it's 
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Then we proceed by moving all the numbers to the right until only x is left:

<span>−3x=2−50</span>
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<span>x=<span><span>−48</span><span>−3</span></span></span>

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Conclusion: The number of people that attended the party was 16.

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Answer:

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