If: x = 2/3 and x = 5/7
Then: (3x-2)(7x-5) = 0
Equation: 21x2-29x+10 = 0
If: 3x+2y = 5x+2y = 14 Then: 3x+2y = 14 and 5x+2y =14 Subtract the 1st equation from the 2nd equation: 2x = 0 Therefore by substitution the solutions are: x = 0 and y = 7
It means that you can validate the solution by verifying the answer. The answer of 19 for the equation of 47 - 28 = n, is reasonable because 28 + 19 = 47. If the equation is more difficult, showing your work every step along the way to the answer. Just show your work in detail and then checking your solution makes the answer of the math equation reasonable.
If: x-2y = 1 and 3xy -y^2 = 8 Then: x = 1+2y and 3(1+2y)y -y^2 = 8 Hence: 3y+6y^2 -y^2 = 8 => 5y^2 +3y -8 = 0 Solving the above quadratic equation: y =1 or y = -8/5 Solutions by substitution are: when y=1 then x=3 and when y=-8/5 then x=-11/5
9
-2
If: 3x+2y = 5x+2y = 14 Then: 3x+2y = 14 and 5x+2y =14 Subtract the 1st equation from the 2nd equation: 2x = 0 Therefore by substitution the solutions are: x = 0 and y = 7
This is the equation for "work."
There are 2 unknowns
The definition of work is (force) times (distance). If you mean you're given the equation and you need to solve it for 'work', then you only need to multiply both sides of the equation by 'time', and you'll have (power) x (time) = (work)
W= FxD is a balanced equation because Work is Force times distance.
You let y=0 (sub this into the equation), then work out what x equals. i.e 0=1/(2x)-2 becomes 2=1/(2x) etc...
Equations: 7x-8y = 9 and 11x+3y = -17 Multiply all terms in the 1st equation by 11 and all terms in the 2nd by 7 So: 77x-88y = 99 and 77x+21y = -119 Subtract the 1st equation from the 2nd equation: 109y = -218 => y = -2 Through substitution the solutions are: x = -1 and y = -2
The equation for force using work is: Work = Force x Distance. This equation relates the amount of work done to the force applied over a certain distance.
Equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Both equations intersect at: (4, 1) Perpendicular distance: square root of (7-4)2+(5-1)2 = 5
Points: (7, 5) Equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Equations intersect at: (4, 1) Length of perpendicular line: 5
3-(-9) Considering a negative plus a negative equals a positive your equation can be rewritten as 3+9 Which equals 12
Yes. Good work!