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Q. 27

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Precalculus Enhanced with Graphing Utilities
Found in: Page 714
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x-y=04x+2y=12

The solution of the given system of equation is x=1.5, y=3, (1.5,3).

See the step by step solution

Step by Step Solution

Step 1. Given information.

The given equations are:

2x-y=04x+2y=12

Step 2. Determine one variable in terms of another variable.

The first equation can be written as:

2x-y=0-y=-2xy=2x

Step 3. Determine the value of one variable.

Substitute the above value in the second equation.

4x+2(2x)=124x+4x=128x=12x=128x=1.5

Step 4. Determine the value of another variable.

Substitute x=1.5 in y=2x.

y=2(1.5)y=3

The solution of the given system of equation is x=1.5, y=3, (1.5,3).

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