Question 134231: y= 3x-4
y= -2x+1
Answer by nycsharkman(136)   (Show Source):
You can put this solution on YOUR website! You said word problem. Where is the word problem?
You have a system of linear equations in two variables:
y= 3x-4
y= -2x+1
What are the two variables? The two variables are x and y. We must find their value.
You are blessed to have both equations expressed in terms of y.
Since we know BOTH equations for y, equate them and solve for x.
3x - 4 = -2x + 1
3x + 2x = 4 + 1
5x = 5
x = 5/5
x = 1
We just found the value of x.
Now, plug x = 1 into EITHER equation and simplify.
I choose y = 3x - 4.
y = 3(1) - 4
y = 3 - 4
y = -1
The solution for this system of equations is the point (1, -1).
What does the point (1, -1) really mean?
The point (1, -1) indicates the location where the two equations meet or cross each other on the xy-plane after they are graphed.
Did you follow?
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