Question

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

Answer 1

The solution is (6, -8) (solved by graphing with Desmos.com/calculator)

Answer 2

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

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