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

x=6, y=8

Explanation:

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

`y-(1)/(3)x=-10\\\\\\y+2x=4`

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

`((-1)/(3)-2)x=-10-4\quad\Rightarrow\quad (-7)/(3)x=-14\\\\\quad\Rightarrow\quad x=6`

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

`y-(1)/(3)\cdot 6=-10\quad\Rightarrow\quad y-2=-10\quad\Rightarrow y=8`