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Chapter 5: Q. 164 (page 626)

Solve a System of Equations by Elimination -
7x-9y=16-21x+27y=-24

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 - 7x-9y=16-21x+27y=-24

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 -

7x-9y=16-21x+27y=-24

We can eliminate y's by multiplying the first equation by 3 -

(7x-9y)脳3=16脳3-21x+27y=-2421x-27y=48-21x+27y=-24

04

Step 4.  Calculation

The equation become -

21x-27y=48-21x+27y=-24

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

21x-27y=48-21x+27y=-240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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