Solve the simultaneous equation
n/4-m/6=-1
Using elimination method
sorry - only one equation.
It was a mistake.
solve the simultaneous equation
n/4-m/6=-1
m/5+n/2=10
This is the correct question
To solve the simultaneous equation using the elimination method, we want to eliminate one variable by adding or subtracting both equations in a way that the coefficients of either x or y become equal. In this case, let's eliminate the variable "n" by multiplying the first equation by 6 and the second equation by 4, to balance the coefficients:
Equation 1: n/4 - m/6 = -1 (multiply through by 6)
6(n/4 - m/6) = 6(-1)
(6/4)n - (6/6)m = -6
(3/2)n - m = -6 (equation 3)
Equation 2: 3n/9 - 4m/9 = -4 (multiply through by 4)
4(3n/9 - 4m/9) = 4(-4)
(12/9)n - (16/9)m = -16
(4/3)n - (16/9)m = -16 (equation 4)
Now, we have equation 3 and equation 4 in a form where the coefficients of "n" are the same. We can subtract equation 4 from equation 3 to eliminate the variable "n":
[(3/2)n - m] - [(4/3)n - (16/9)m] = -6 - (-16)
Simplifying the equation:
(3/2 - 4/3)n + (16/9 - 1)m = -6 + 16
(9/6 - 8/6)n + (16/9 - 1)m = 10
(1/6)n + (7/9)m = 10 (equation 5)
Now we have eliminated "n" from the equation. Let's continue solving for "m" by multiplying equation 5 by 6:
6[(1/6)n + (7/9)m] = 6(10)
(n + (42/9)m) = 60
Simplifying the equation:
n + (14/3)m = 60 (equation 6)
Now we have equation 6, which relates "n" and "m". At this point, we can solve for one variable in terms of the other or continue manipulating the equations to isolate one variable. If you provide another equation or information, I can assist you further in finding the solution.