Answer:
Solution: (3, 2)
Step-by-step explanation:
It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.
x - 3y = -3
-3y = -x - 3
Divide both sides by -3:
[tex]\frac{-3y}{-3} = \frac{-x - 3}{-3}[/tex]
y = 1/3x + 1
where slope = 1/3
y-intercept = 1
x + y = 5
Subtract x from both sides to isolate y:
x - x + y = - x + 5
y = -x + 5
where slope = -1
y-intercept, 5
I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).
Therefore, the solution is (3, 2).
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