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Chapter 4: Q. 45 (page 386)

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

y=-23x+52x+3y=11

Short Answer

Expert verified

The solution of the system of linear equations has no solutions.

Step by step solution

01

Step 1. Given Information  

The given linear equations are,

y=-23x+52x+3y=11

02

Step 2.  Calculation  

First solve one equation for one variable.

Solve the first equation for y.

y=-23x+5

Substitute y=-23x+5in second equation 2x+3y=11and solve for x.

2x+3y=112x+3-23x+5=112x-2x+15=1115=11

This is not true.

Therefore, the solution of the system of linear equations has no solutions.

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