Find the solution between - x - 3y = 6 and the equation of the line shown on the graph below.

They are the same line.

Step-by-step explanation:

y = -1/3x - 2

-x - 3y = 6

First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.

Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.

-3y = x + 6

Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).

-3y = x + 6.-> y = -1/3x - 2

So, your final equation for -x - 3y = 6 should be;

y = -1/3x -2

Bringing down the other equation, we get:

y = -1/3x - 2 and y = -1/3x - 2

Making both equal to each other (they cancel each other out).

Hope this helps!

(And sorry that this is a long explanation)

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.