Andrew M. answered • 03/27/17
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
These are linear equations and there
are infinite ordered pairs that can be
graphed. But you need only 2 per line
to graph it.
1. 4x-y=8
-y = -4x+8
y = 4x-8
x | 4x-8
----|---------
0 | -8
2 | 0
The intercepts are (0,-8), (2,0).
Plot the points and draw the line.
4x-3y =8
-3y = -4x+8
Y = (4/3)x - 8/3
x | (4/3)x - 8/3
---|----------------
3 | -4
-3 | 4
I used 3 and -3 to make it easier
because of the fractions.
Plot (3,-4), (-3,4) and draw the line.
Andrew M.
You're probably right. Lol. Hate it when questions aren't clear.
Of course, one could graph the lines and the point of intersection
would be the ordered pair for the solution. Still.. To solve the
system of equations:
4x - y = 8
4x - 3y = 8
---------------
multiply the 2nd equation by -1 and add the equations.
4x - y = 8
-4x+3y = -8
=========
2y = 0
y = 0
Substitye 0 for y in one of the original equations:
4x-y = 8
4x-0 = 8
4x = 8
x = 2
The point of intersection, which is the solution of the
system of equations, is (2,0)
Report
03/27/17
Mark M.
03/27/17