Chapter 6.4, Problem 17MCQ

To determine

Totell:The method should be used to solve given system of equations explaining the answer.

Answer to Problem 17MCQ

The method of substitution should be used.

Explanation of Solution

Given information:

The system of equations is $y=2x-5$ , $4y+8x=15$ , and one can use method of graphing, substitution, and elimination.

Conceptused:

In method of elimination the value of one variable from an equation in terms of other variable is substituted in other equation. The resulting equation is an equation in one variable.

For solving given system of equations $y=2x-5$ , $4y+8x=15$ , we use method of substitution.

The reason is that we have one equation $y=2x-5$ that gives directly value of one variable y in terms of other variable x. So to obtain an equation in single variable x no reshuffling or arrangement of terms of any equation is required, and an equation in single variable x can be solved quickly.

Conclusion:

The method of substitution should be used.