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viva [34]
3 years ago
10

How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you ge

t the answer please
Mathematics
1 answer:
dlinn [17]3 years ago
4 0
Solve both equations for y:
x-y=3 \ \ \ |-x \\
-y=-x+3 \ \ \ |\times (-1) \\
y=x-3 \\ \\
ay+3a=0 \ \ \ |-3a \\
ay=-3a \ \ \ |\div a, a \not= 0 \\
y=-3

Set the expressions equal to each other:
y=y \\ x-3=-3 \ \ \ |+3 \\
x=0 \\ \\
(x,y)=(0,-3)

So, for every nonzero number a the system of equations has one solution.
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3 years ago
The thickness of a block is approximately 2 centimeters. How many blocks are in a stack that is 1,000 millimeters high? ( 1 cm =
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Answer:

50 blocks

Step-by-step explanation:

First of all, you need to label you're proportions, which can be mm/blocks.

Then, for 1 block, it is 20 mm because the block is 2 cm, which is equal to 20 mm. So for you're proportion, it is 20 mm/1 block.

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So for you're final answer/proportion, it is mm/blocks = 20/1 = 1000/50 and you're final answer is 50 blocks

Hope this helps : )

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