By graphing the lines on the coordinated plane they will intersect at (2, -4) which is the solution of the equations
2x + 2y = 44x + y = 1There are many methods you can use to solve this system of equations (graphing, elimination, substitution, matrices)...but no matter what method you use, you should get x = -1/3 and y = 7/3.
2x+a=p 2x=p-a x=.5p-.5a
many solutions
2x + 2x + 146 + 26 = 172 4x + 172 = 172 4x = 0 x = 0
2x+3 = 7 2x = 7-3 2x = 4 x = 2
2x + 2y = 44x + y = 1There are many methods you can use to solve this system of equations (graphing, elimination, substitution, matrices)...but no matter what method you use, you should get x = -1/3 and y = 7/3.
Yes, they are. If you solve 2x + 7y = 6 for y, you get y = (-2x + 6) / 7. If you solve 7y + 2x + 6 = 0 for y, you get y = (-2x - 6) / 7. As you can see, both equations have the same slope. Therefore they are parallel. You can punch those equations into a graphing calculator and visually verify that they are indeed parallel.
2x+a=p 2x=p-a x=.5p-.5a
y= -2x
3
8
many solutions
(3,3)
x=35
2x + 2x + 146 + 26 = 172 4x + 172 = 172 4x = 0 x = 0
2x+3 = 7 2x = 7-3 2x = 4 x = 2
2x+32 = 1 2x = 1-32 2x = -31 x = -15.5