3x + 7 = 3(-3) + 7= -9 + 7= -2
6x-7 = 3x+5 6x = 3x+12 (subtracting -7) 3x=12 (subtracting 3x) x=4 (dividing by 3)
y = (3x + 1)⁵(3 - x)³ The stationary points are where dy/dx = 0 Note the use of: If u and v are functions of x: d/dx (uv) = v du/dx + u dv/dx d/dx uⁿ = n uⁿ⁻¹ du/dx dy/dx = (3 - x)³ d/dx (3x + 1)⁵ + (3x + 1)⁵ d/dx (3 - x)³ = (3 - x)³ 5 (3x + 1)⁴ d/dx (3x + 1) + (3x + 1)⁵ 3 (3 - x)² d/dx (3 - x) = 5 (3 - x)³ (3x + 1)⁴ 3 + 3 (3x + 1)⁵ (3 - x)² (-1) = 3 (3x + 1)⁴ (3 - x)² (5 (3 - x) - (3x + 1)) = 3 (3x + 1)⁴ (3 - x)² (15 - 5x - 3x - 1) = 3 (3x + 1)⁴ (3 - x)² (14 - 8x) = 6 (3x + 1)⁴ (3 - x)² (7 - 4x) → 3x + 1 = 0 → x = -1/3 or 3 - x = 0 → x = 3 or 7 - 4x = 0 → x = 7/4
7/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/37/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/37/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/37/x + 3/4 = 5/xMultiply through by 4x: 7*4 + 3*x = 5*4or 28 + 3x = 20Subtract 28 from both sides: 3x = -8Divide both sides by 3: x = -8/3
x + 5 + 3x - 7 + 9x + 3 - 4x Switch the like numbers closer to make the equation easier. x + 3x + 9x - 4x + 5 - 7 + 3 However this is an unsolvable as it isn't an equation. An equation needs an equals sign, for example: x + 3x + 9x - 4x + 5 - 7 + 3 = 0, or x + 3x + 9x - 4x + 5 - 7 + 3 = 10 If it is the former then the answer is 9x = -1 Thus x = -1/9
The value of x is: x=7/8. Work: 5x-3=4-3x +3 +3 ________ 5x=7-3x +3x +3x ________ 8x=7 /8 /8 ________ x=7/8
if 3x+7 = 3 then 3x = 3-7 3x = -4 then, x = -4/3
It depends on the value of x. -3 = 4 -3x 3x = 7 so x =7/3 If x < 7/3 then -3 is greater if x = 7/3 then -3 is the same if x > 7/3 then -3 is smaller.
3x+7=37 -7 -7 3x=30 /3 /3 x=10
-3x + 2 = -7 - 2 -2 -3x = -9 so x = 3
3x + 7 = -x - 1
If: 3x-7+x = 5 Then: x = 3
3x + 4= 7 3x= 7-4 3x/3 = 3/3 x=1
3x + 7 = -3x 6x = -7 x = -7/6
Since x = -3, then 3x = -9 therefore; -9 + 7 = -2 _____________________________________________________________________ 3x+7=-3 so -3-7=-10 so 3x has to equal -10. so 3 x -3.333...=-10 Answer: -3.3333....
3x - 7 = 2 3x = 9 x = 3
3x + 7 = 3(-3) + 7= -9 + 7= -2