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Chapter 4: Q . 4.26 (page 384)

For each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer.

4x-5y=-323x+2y=-1

6x-2y=123x+7y=-13

Short Answer

Expert verified

For part (a),(b) The elimination method is more preferred

Step by step solution

01

Part (a) Step 1: Given information

Given the system of equations4x-5y=-323x+2y=-1

02

Part (a) Step 2: Checking for the method

The equations are,4x-5y=-323x+2y=-1

Here there are two variables to be found and two equations are given in standard form so the elimination method is more preferred.
03

Part (b) Step 1: Given information

Given the system of equation6x-2y=123x+7y=-13

04

Part (b) Step 2: Checking the method

The equations are 6x-2y=123x+7y=-13

Here there are two variables to be found and two equations are given in standard form so the elimination method is more preferred.

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Most popular questions from this chapter

A motor boat travels60miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in still water and the rate of the current.

Without graphing, determine the number of solutions and then classify the system of equations.

(a)y=13x-5x-3y=6(b)x+4y=12-x+y=3

In the following exercise, solve the systems of equations by elimination.

x+y2=32x5-y5=3

Translate to a system of equations and then solve:

A Mississippi river boat cruise sailed 120miles upstream for 12hours and then took10 hours to return to the dock.

Find the speed of the river boat in still water and the speed of the river current.

Solve the system by elimination:7x+8y=43x-5y=27
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