Question

Solve the system of equations:

a−3b=13
5a+6c=41
2a−4b−c=5
A) Find the values of a, b, and c.
B) Verify the solution satisfies all three equations.
C) Identify any dependent or independent equations.
D) Determine the geometric interpretation of the solution.

Answer 1

To solve the system of equations, we can use the method of substitution or elimination. In this case, we will use substitution. After solving the system of equations, we find that a = 13, b = 2, and c = -1.

Step-by-step explanation:

To solve the system of equations:

a - 3b = 13

5a + 6c = 41

2a - 4b - c = 5

We can use the method of substitution or elimination. Let's use substitution.

From the first equation, we can solve for a: a = 13 + 3b

Next, substitute the value of a into the other two equations:

5(13 + 3b) + 6c = 41

2(13 + 3b) - 4b - c = 5

After solving the system of equations, we find: a = 13, b = 2, c = -1.