Question

How many solutions do the following have?

1) 2x=-10y+6 and x+5y=3

2) y=4x+3 and 2y-8x=3

3) x-2y=6 and 3x-6y=18

Answer 1

all the equations are linear...

well an easy method is to write all your lines in slope intercept form...

and remember

same slope different intercepts.... no solution

same slope same intercept ... infinite solutions (same line)

different slopes .... 1 solution, the point of intersection