Use the graph, the equations, or a table of values to support a logical argument that the linear functions are inverses.
(please help)

Step-by-step explanation:

one line has the slope of -3 (-3/1 meaning that when x increases by 1 unit, y decreases by 3 units).

and this line has the offset of y=-5 for x=0

so, the line equation is

y = -3x - 5

inverse means that we exchange x and y and then solve for y again :

x = -3y - 5

3y = -x - 5

y = -x/3 - 5/3

when we look at the second line, we see its slope is -1/3 (when x increases by 3 units, y decreases by 1 unit).

and while we cannot read the offset on the y-axis precisely, we can use a clearly readable point to prove or disprove the equation above.

for example (-2, -1)

-1 = -(-2/3) - 5/3 = 2/3 - 5/3 = -3/3 = -1

correct.

so, the equation we got for the inverse function fits exactly with the second line in the graph.

therefore, yes, they are both inverse functions to each other.

i would be happy to . most people on would also love to i'm sure. if you just want someone who has done algebra before and want a little more personal relationship than just begging strangers for , i can certainly be of service. i do have college myself so i might not be 24/7.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .