a+b+c=5 then find the value of a,b,c
the values of a,b, and c would not be unique
e.g. a=1, b= 2 and c=2 work
a=-1 b=1 and c=5 work
etc.
Please tell me the answer
To find the value of a, b, and c when given the equation a + b + c = 5, we need additional information. The equation has three variables but only one equation. Therefore, we need at least two more equations to solve for three variables.
If you have two more equations involving a, b, and c, you can use substitution or elimination methods to find the values of a, b, and c.
For example, let's say we have the additional equations:
a - b + c = 3
2a + b - 2c = 4
We can solve the system of equations by substitution or elimination method.
Using the substitution method:
1. Solve one of the equations for one variable in terms of the other two variables.
From the first equation, we can solve for c:
c = 3 - a + b
2. Substitute the value of c in terms of a and b into the other equations.
Substituting c in the second equation:
2a + b - 2(3 - a + b) = 4
3. Simplify and solve the resulting equation to find the values of a and b.
2a + b - 6 + 2a - 2b = 4
4a - b - 6 = 4
4a - b = 10 (equation 3)
4. Substitute the values of a and b back into one of the original equations to solve for c.
Using equation 1:
a - b + (3 - a + b) = 3
3 - a + b = 3
-a + b = 0
b = a
5. Substitute the value of b back into equation 3 to solve for a.
4a - a = 10
3a = 10
a = 10/3
6. Substitute the values of a and b back into equation 1 to solve for c.
10/3 - 10/3 + c = 3
c = 3
Therefore, the values of a, b, and c are:
a = 10/3
b = 10/3
c = 3