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 2 years ago
How many solutions does the system have?
x = 4y + 4
2x + 8y = 8
A. one solution
B. two solutions
C. infinitely many solutions
D. no solution
 2 years ago
How many solutions does the system have? x = 4y + 4 2x + 8y = 8 A. one solution B. two solutions C. infinitely many solutions D. no solution

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ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Multiplying the first equation by 2:\[2x = 8y + 8 \]

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Also, subtracting 8y from both sides in the second equation:\[2x = 8y + 8\]

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0There is a lot of solutions

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1We now have the following equations:\[2x = 8y + 8\\2x = 8y + 8\]

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1A lot? Uncountable! Infinity!

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0You can see that without solving the system.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0You can mentally arrange the unknows at the left hand side. and see that the second equation is the first one multiplied by 2

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0so you have only one equation with two unknows. that means a lot of solutions.
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