Answer:
x= -3; y = -5
Step-by-step explanation:
You have a system of two equations.
(1) y = x - 2
(2) y = -⅓x + 6
1. Create a table containing a few values of x and y for each equation
Choose at least three different values for x (it doesn't which values you choose).
I chose -6, -3, and 0.
Calculate the corresponding values of y for each equation.
I got the results in this table.
[tex]\begin{array}{rcc}\mathbf{x} & \mathbf{x - 2} &\mathbf{ -\frac{1}{3}x - 6}\\-6 & -8 & -4\\-3 & -5 & -5\\0 & -2 & -6\\\end{array}[/tex]
2. Draw your axes
You should scale your axes, so the graph covers most of the plot area.
A good place to start is to let both the x- and y-axes run from -10 to 10.
Divide the axes into convenient intervals for ease of reading (I chose units of 2).
3. Plot your points
Draw dots at the coordinates of each point.
4. Draw the graphs
Draw straight lines through the points.
Extend the lines in both directions to the edges of the plot area.
Your graph should resemble the figure below.
4. Find the coordinates of the point where the lines cross
From the point where the lines cross, draw perpendiculars to the x- and y-axes.
They hit the axes at x = -3 and y = -5.
The solution to your system of equations is (-3,-5).
