What is the point of intersection is this system? 3x = y - 2 6x = 4 - 2y

I want to know how to solve this.

Feb 25, 2018

It can be found by solving the equations simultaneously.

Explanation:

$3 x = y - 2$

$y = 3 x + 2 \text{ " " } \left(1\right)$

$6 x = 4 - 2 y$

$3 x = 2 - y$

$y = 2 - 3 x \text{ " " } \left(2\right)$

Comparing $\left(1\right)$ and $\left(2\right)$

$3 x + 2 = 2 - 3 x$

From here, $x$ comes out to be $0$

$6 x = 0$

$x = 0$

Put $x = 0$ in $\left(1\right)$

y = 3(0* + 2

$y = 2$

So the point of intersection of these two lines is $\left(0 , 2\right)$.