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olga55 [171]
3 years ago
11

What is the solution to the system of equations? y = 1/3x – 10 2x + y = 4

Mathematics
2 answers:
kolezko [41]3 years ago
5 0
The solution is (6, -8) (solved by graphing with Desmos.com/calculator)
serg [7]3 years ago
3 0

Answer:

x=6, y=8

Step-by-step explanation:

First, we can put the sytem of equations in standard form, it holds that

y-\dfrac{1}{3}x=-10\\\\\\y+2x=4

then, we can substract the second equation from the first equation to get that

(\dfrac{-1}{3}-2)x=-10-4\quad\Rightarrow\quad \dfrac{-7}{3}x=-14\\\\\quad\Rightarrow\quad x=6

Finally, we use this result in the first equation to get that

y-\dfrac{1}{3}\cdot 6=-10\quad\Rightarrow\quad y-2=-10\quad\Rightarrow y=8

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