Question

Which of the following systems of equations is an example of one where elimination is the best method?A) {y=27x+11 {3x−4y=−24 B) {4x+5y=20 {−4x+6y=24 C) {y=13x+15 {2x−2y=18 D) {x = 11 {y = -8

Answer 1

Explanation:

When solving a system of equations, the elimination method is best used when the system is given in such a way that the coefficients of one variable can be eliminated by addition or subtraction.

Of the given system of equations, the example of where elimination is the best method is:

`\begin{gathered} 4x+5y=20 \\ -4x+6y=24 \end{gathered}`

In this example, we see that the variable 'x' can be directly eliminated by adding the two equations.

The correct option is B.