Solve the system of equations. x + 3y = −12x + 2y = 6
1 answer:
Answer:
x=-3/19
y=39/19
Step-by-step explanation:
the equations can be written as the following system
![x+3y=6\\-12x+2y=6](https://tex.z-dn.net/?f=x%2B3y%3D6%5C%5C-12x%2B2y%3D6)
If the second equation is multiplied by 3/2 it will become -18x+3y=9
If that equation is then subtracted with the first you will obtain the following
-19x=3, it means x=-3/19
The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19
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