Linear Equations

Let the two numbers be and , such that . We are given: By solving this system of equations, we add them: Thus, the greatest number is .

We are given the system of equations: Solve the first equation for : Substitute this into the second equation: Now substitute into : Thus, the correct answer is , .

We solve the system of equations: Multiplying the first equation by 4: Subtracting the second equation: Substitute into : Thus, .

Since the angles are supplementary, their sum is . We have: Simplifying: Substituting into the angles: Thus, the correct answer is .