Respuesta :
Answer:
See below
Step-by-step explanation:
(1) Create a table containing a few values of x and y
I chose x = -5, 0, and 5.
[tex]\begin{array}{rcc}& \mathbf{y = x + 6} & \mathbf{y = 3x - 2}\\\mathbf{x} & \mathbf{y} & \mathbf{y}\\-5 & 1 & -17\\0 & 6 & -2\\5 & 11 & 13\\\end{array}[/tex]
(2) Plot your points
Draw dots at the coordinates of each point ( Fig. 1).
(3) Draw the graph
Draw smooth lines through the points for each function.
Extend the lines in both directions to the edges of the plot area.
Your graphs should look like Fig. 2.
(4) Plot the solution
Note where the lines cross.
They appear to intersect at (4, 10).
Plot the point, and the finished graph should look like Fig. 3.



Answer:
(2, 4)
Step-by-step explanation:
Both equations have been solved for y, so to find x we need only set the equations = to each other: y=-x+6 = y=3x-2
Combining like terms, we get 4x = 8, and x = 2. Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.
The solution is (2, 4). If you were to graph these two lines, you'd find that they intersect at (2, 4).