2n-11=m/4
n=m/-3
Solve for the variables using substitution
sub the 2nd into the 1st
2n - 11 = m/4
2(m/-3) - 11 = m/4
multiply each term by 12
-8m - 132 = 3m
-11m = 132
m = -12
then n = (-12) / -3
= 4
To solve for the variables using substitution, we will rearrange one of the equations to solve for one variable and then substitute that value into the other equation.
Let's start with the equation n = m/-3. We can rearrange it to solve for m: m = -3n.
Now, substitute this value of m into the other equation 2n - 11 = m/4:
2n - 11 = (-3n)/4.
To simplify this, multiply both sides of the equation by 4 to get rid of the fraction:
8n - 44 = -3n.
Next, add 3n to both sides of the equation to consolidate the n terms:
8n + 3n - 44 = 0.
Combine like terms:
11n - 44 = 0.
To isolate n, add 44 to both sides of the equation:
11n = 44.
Finally, divide both sides of the equation by 11:
n = 44/11.
Simplifying the fraction:
n = 4.
Now that we have found the value of n, we can substitute it back into the equation m = -3n:
m = -3 * 4,
m = -12.
Therefore, the solution to the system of equations is n = 4 and m = -12.