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What is the solution of the following linear system? y = 3x + 1 2y = 6x + 2

User Kwerenda
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1 Answer

5 votes

Answer:

y = 3x +1 (1)

2y = 6x +2 (2)

We can devide equation (2) by 2 and we got:


y =3x +1 (3)

And since equations (1) and (3) are equal we can do this:


3x +1 = 3x+1

And that implies:


0=0

And for this case we will have infinite solutions for the sytem given since we have two lines equal

Explanation:

For this case we have the following system of equations given:

y = 3x +1 (1)

2y = 6x +2 (2)

We can devide equation (2) by 2 and we got:


y =3x +1 (3)

And since equations (1) and (3) are equal we can do this:


3x +1 = 3x+1

And that implies:


0=0

And for this case we will have infinite solutions for the sytem given since we have two lines equal

User Sanjay Rabari
by
7.3k points