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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
 one year ago
 one year 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
 one year ago
 one year ago

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

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

NodataBest ResponseYou've already chosen the best response.0
There is a lot of solutions
 one year ago

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

ParthKohliBest ResponseYou've already chosen the best response.1
A lot? Uncountable! Infinity!
 one year ago

NodataBest ResponseYou've already chosen the best response.0
You can see that without solving the system.
 one year ago

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

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