SOLUTION: Hi, Can someone help me plot this graph it suppose to be a linear equation in two variables 7x+2y=9 4x+5y=6 I sorry, I been out of school for 15 years and I have forgott

Question 154484: Hi,
Can someone help me plot this graph it suppose to be a linear equation in two variables
7x+2y=9
4x+5y=6
I sorry, I been out of school for 15 years and I have forgotten how to do these graph.
Again, Thank you for taking the time to help me.
Mark
Found 2 solutions by checkley77, Earlsdon:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
First you need to put these equations in the line form [Y=mX+b] where the [m] term=slope & the [b] term=y intercept.
7x+2y=9
2y=-7x+9
y=-7x/2+9/2
y=-3.5x+4.5 (red line)
4x+5y=6
5y=-4x+6
y=-4x/5+6/5 (green line)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -3.5x +4.5 and -4x/5 +6/5).
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, it's helpful to get your equations into the "slope-intercept" form. Remember those? where m = the slope and b = the y-intercept.
Subtract 7x from both sides of the equation.
Simplify this.
Now divide both sides by 2 to get the y by itself.
Simplify this.

For the second equation:
Subtract 4x from both sides.
Divide both sides by 5.

Since these are linear equations, their graphs will be straight lines and you need only two point to draw a straight line. So, for each equation, first substitute x = 0 and solve for y, then substitute y = 0 then solve for x.
First equation:
The first point:
Substitute x = 0 and solve for y.

This is one point: (0, 9/2)
The second point:
Substitute y = 0 and solve for x.
Add to both sides.
Multiply both sides by the multiplicative inverse of and this is
This is the other point: (3/2, 0) I'll leave the two points for other equation for you to find by using the same technique as above, starting with:

The graph will look like like:

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