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Question 484847: Use two integers between -12 & +12 which will become solutions to a system of two equations.
write two equations that have your integers as solutions. solve your equations by the addition and subtraction method.
I know to use the algebra form of ax+by = c. I don't understand which random integer can be used.
Can you please show me using the required integers how I do this?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Use two integers between -12 & +12. So pick any number you want between -12 and 12. I'm going to pick 1. Pick another value (in the same interval). I'm going to pick 2 next
So I chose 1 and 2. So x = 1 and y = 2
So the two lines intersect at the point (1,2)
Now pick any other point you want, say (6, 7). This point can be ANY point you want. Now find the equation of the line that goes through (1,2) and (6,7). I'll let you do this.
After that, pick another point (that's not on the first line), say (4,8). Again, pick any point you want (as long as it doesn't lie on the first line).
Using the points that I have chosen, you'll find that the system of equations is
y = x+1
y = 2x
which can also be written as
x-y = -1
2x-y = 0
More importantly, the solution to this system is (1,2). So the two lines intersect at the point (1,2)
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