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Chapter 5: Q. 162 (page 626)

Solve a System of Equations by Elimination -
5x-8y=1210x-16y=20

Short Answer

Expert verified

This statement is false. The equations are inconsistent and so their graphs would be parallel lines. The system does not have a solution.

Step by step solution

01

Step 1.  Given Information.

Equation - 5x-8y=1210x-16y=20

02

Step 2.  To Find

Solve a System of Equations by Elimination and find the value of x and y.

03

Step 3.  Explanation

Equation -

5x-8y=1210x-16y=20

We can eliminate y's by multiplying the first equation by 2 -

(5x-8y)脳2=12脳210x-16y=2010x-16y=2410x-16y=20

04

Step 4.  Calculation

The equation become -

10x-16y=2410x-16y=20

We subtract the x's and y's and constants -

role="math" localid="1647726524926" 10x-16y=4410x-16y=200鈮�24

This statement is false. The equations are inconsistent and so their graphs would be parallel lines. The system does not have a solution.

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