SOLUTION: I need to know how to graph 2x-7y=3 5x-4y=-6 And I also need to know how many solutions it has. Could you please help me? thanks!

Question 5472: I need to know how to graph
2x-7y=3
5x-4y=-6
And I also need to know how many solutions it has.
Could you please help me? thanks!

Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
the easiest way is to set it up in slope intercept form (y=mx+b)and then plug in values for x to get a y - you then have a point to graph:
2x-7y=3
subtract 2x from both sides of the equation
-7y=-2x+3
Divide both sides by -7

The slope to the graph is and it crosses the y axis at (0,3/7)
by putting in 1 for x, we get another point (1,5/7) Draw a line that crosses both of these points.
Do the same to the other equation
5x-4y=-6
subtract 5x from both sides:
-4y=-5x-6
divide both sides by -4

we have the point (0,6/4), get a second point by substituting 1 for x.. (1,11/4) draw a line that extends through these two points.
The solution to this system is where both lines intersect:

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