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Consider the equation 6x+3y=9 Which equation, when graphed with the given equation, will form a system with infinitely many solutions?

y+2x=3
y+2x=9
y=2x+3
y=-2x+9

User TheTechGuy
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2 Answers

3 votes

Answer:

The answer is ( A )

Explanation:

User Jirik
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Okay so when you need to find an equation that is infenetely many solutions, both equations needs to be equal like x=x so when x is 2, it is 2=2 whatever number you put, they are equal. That's why it is infenetely many solutions.

First, lets simplify the equation
3y=9-6x (the common number is 3 so lets divide them all to 3 so we will have one variable on one side all alone which is y)
y=3-2x

Let's look at the answers. We need to leave y on one side.

A. y=3-2x
B. y=9-2x
C. y=2x+3
D. y=-2x+9

When we simplify the equation on the top, we got y=3-2x so the answer is A
Hope it helped :)
User Nacho Coll
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