2x+3y=13 3x-y=3 x=2
y=1/3x+3
x+2y-6=z -z -z x+2y-z-6=0 +6 +6 ---------> x+2y-z=6 3y-2z=7 ---------> 0x+3y-2z=7 4+3x=2y-5z -3x -3x ---------> -3x+2y-5z=4 Put them into a matrix, for x,y,z and their answers. Solve for [A]-1[B], and the answer comes to: x= 1.75, y= 1.5, and z= -1.25
x = 3y x - 3y = 3y - 3y x - 3y = 3y - 3y x - 3y = 0
y = 3x + 8Replace x with y and y with x.x = 3y + 8Solve for y.x - 8 = 3y3y = x - 8y = (x-8)/3
2x+3y=13 3x-y=3 x=2
-3x - 9 = 3y -x - 3 = y y = -(x+3)
The slope is -1. 3x+3y=12 Subtract 3x 3y=-3x+12 Divide by 3 y=-x+4
y equals 3x has the greater slope.
x = 2.15 and y = 3.75
x = - 4 and y = 0
3x-3y=-9 and 9x-9y=-27 both simplifies to x-y=-3.
If: -x-3y = -4 and 3x+5y = 16 Then: x = 7 and y = -1
Multiply first equation by 1.5, giving 3x + 3y = 12, but we are told that 3x + 3y = 6. If there isn't an error in the question then 2 = 1!
There is not an answer but you can factor it.3x+3y=3(x+y)
x-3y = 9 -3y = -x+9 y = 1/3x -3 Perpendicular slope = -3
2. If x=5 & y =3 then: 3x + 2y = 3 x 5 + 2 x 3 = 15 + 6 = 21 2x + 3y = 2 x 5 + 3 x 3 = 10 + 9 = 19 ⇒ 3x+2y exceeds 2x+3y by 21 - 19 = 2. Alternatively: 3x+2y exceeds 2x+3y by: (3x+2y) - (2x + 3y) = 3x + 2y - 2x - 3y = x - y If x=5 & y=3 then this becomes: x - y = 5 - 3 = 2