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August 29, 2014

August 29, 2014

Posted by **kelly** on Saturday, July 30, 2011 at 9:17pm.

y = 3x + 2

2y-6x=4

We have the solution for y so we use this to solve

2 (3x + 2) – 6x = 4

6x + 4 – 6x = 4

0x +4 = 4

Subtract 4 from both sides

X=0

Now we use 0 for the x value in equation one

Y=3(0) +2

Y=0+2

Y=2

Points (0,2)

- algebra -
**MathMate**, Saturday, July 30, 2011 at 10:25pmy = 3x + 2....(1)

2y-6x=4 ....(2)

If you multiply (1) by 2 and transpose terms, you get equation (2).

This means that there is an infinite sets of solutions based on any value of t:

x=t

y=3t+2

Geometrically the system represents two lines that are coincident, hence an infinite set of solutions.

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