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find three ordered pair solutions for; 3x - 2y = -1

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1 Answer

Hi Serena;
3x - 2y = -1
Just so you know, this equation is of a line on a graph.  It is in standard form.
Ax+By=C, A and B cannot equal zero and A is greater than zero.
A=3
B=-2
C=-1
 
As need coordinates for x and y.
Let's make this easy, and begin with x=0
[(3)(0)]-[2y]=-1
-2y=-1
Let's divide both sides by -2 to isolate y...
(-2y)/-2=-1/-2
y=1/2
(0,1/2)
 
y=0
3x - 2y = -1
[3x]-[(2)(0)]=-1
3x=-1
(3x)/3=-1/3
x=-1/3
(-1/3,0)
 
For the third, how about x=1...
3x - 2y = -1
[(3)(1)]-2y=-1
3-2y=-1
Let's subtract 3 from both sides...
-3+3-2y=-1-3
-2y=-4
y=2
(1,2)