1.5
1) y - 7y = 36 -6y = 36 y = -6 We know that, y = 3x -6 = 3x x= -2 Conclusion, y= -6, x = -2
1
5
-1
Well, if 3x equals 12, then x equals 4. And if y equals 3x, then y equals 3 times 4, which is 12. So, y equals 12. Math can be a piece of cake when you break it down like that!
Your equations are not worded properly.
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)
A pair of simultaneous eq;ns. 3x + y = 4 x + y = 0 Subtract the two eq'ns. This will eliminate 'y' 2x = 4 x = 2 Substitute this value of 'x' into either eq'n for 'y' 2 + y = 0 y = -2 or 3)2) + y = 4 6 + y = 4 y = 4 - 6 y = -2 ( again) . So the answer is ( x,y) = ( 2, -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) y - 7y = 36 -6y = 36 y = -6 We know that, y = 3x -6 = 3x x= -2 Conclusion, y= -6, x = -2
1
1
3x - y = -1 x = -2 3(-2) -y = -1 -6 - y = -1 -y = 5 y = -5
y = 3x + 1 y = 3x + 2 y = 3x + 3 y = 3x