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

Question

asked Jul 23, 2017 63.0k views

2 Answers

Tplusk · Answer 1 · 2017-07-27T03:12:02+0000

Answer:

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

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