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Chapter 5: Q. 104 (page 611)

In the following exercises, solve the systems of equations by substitution.

y=-14xx+4y=8

Short Answer

Expert verified

The system of equations has no solution

Step by step solution

01

Step 1. Given Information 

The given equations are

y=-14xx+4y=8

02

Step 2. Calculation 

Substitute the equation first in the second equation to find the value of variable x.

x+4y=8x+4(-14x)=8x-x=80鈮�8

Since 0鈮�8is a false statement, the system of equations is inconsistent. The graph of these two equations would be the parallel line. Thus the system of the linear equation has no solution.

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