If: 3x+y = 4 and x+y = 0 Then: x = 2 and y = -2
y = 2 sin 3x y' = 2(sin 3x)'(3x)' y' = 2(cos 3x)(3) y' = 6 cos 3x
3x - y = -1 x = -2 3(-2) -y = -1 -6 - y = -1 -y = 5 y = -5
y=2 sin(3x) dy/dx = 2 cos(3x) (3) dy/dx = 6 cos(3x)
3x - y = 4 Get y by itself to see if it is the same as y = 3x - 4: 3x = 4 + y 3x - 4 = y Therefore, 3x - y = 4 is the equivalent of y = 3x - 4.
y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
If: 3x+y = 4 and x+y = 0 Then: x = 2 and y = -2
3x + 2 = Y
-1
Their graphs are.
y = 2 sin 3x y' = 2(sin 3x)'(3x)' y' = 2(cos 3x)(3) y' = 6 cos 3x
1
1) y - 7y = 36 -6y = 36 y = -6 We know that, y = 3x -6 = 3x x= -2 Conclusion, y= -6, x = -2
1
y = 3x + 1 y = 3x + 2 y = 3x + 3 y = 3x
3x - y = -1 x = -2 3(-2) -y = -1 -6 - y = -1 -y = 5 y = -5
1.5