4x−6y=12 −2x+3y=−6

CheemnCatelvew

CheemnCatelvew

Answered question

2020-11-08

4x−6y=12
−2x+3y=−6

Answer & Explanation

i1ziZ

i1ziZ

Skilled2020-11-09Added 92 answers

Notice that you can divide the first equation by 2 to simplify the system: 2x-3y=6
-2x+3y=-6
Add the first equation to the second to get the following system:
2x-3y=12
0=0
Therefore, this system reduces to the equation 2x-3y=12
Since we have 1 equation and 2 unknowns, we put y=t (we designate it as a parameter of this system), and get
2x3t=122x=3t+12x=1.5t+6
Therefore, the solution is
x=1.5t+6, y=t, t is a parameter.

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