Question

What is the intersection of lines for the two equations y+3x=1 and y-6=2x?

Answer 1

Answer:

Step-by-step explanation:

Let's reformat both equations so that $y$ is by itself on each side:

$y = -3x + 1$

$y = 2x + 6$

Since we $y$ isolated to one side in both equations, we know the right-hand sides must be equal:

$-3x + 1 = 2x + 6$

Solving for $x$ will give us the x-coordinate of the point of intersection:

$-5x = 5$

$x = -1$

Plugging in this x-coordinate to either of the above equations will give us the y-coordinate of the point of intersection:

$y = -3(-1) + 1$

$y = 4$

Therefore, the point of intersection is $(-1, 4)$