Table of contents
- 0. Review of Algebra(0)
- 1. Equations & Inequalities(0)
- 2. Graphs of Equations(0)
- 3. Functions(0)
- 4. Polynomial Functions(0)
- 5. Rational Functions(0)
- 6. Exponential & Logarithmic Functions(0)
- 7. Systems of Equations & Matrices(0)
- 8. Conic Sections(0)
- 9. Sequences, Series, & Induction(0)
- 10. Combinatorics & Probability(0)
7. Systems of Equations & Matrices
Introduction to Matrices
7. Systems of Equations & Matrices
Introduction to Matrices: Study with Video Lessons, Practice Problems & Examples
93PRACTICE PROBLEM
Solve the system of equations given below.
![open curly brackets table row cell space ln space w minus 2 ln space x minus ln space y plus 3 ln space z equals 3 space space end cell row cell 2 ln space w minus 4 ln space x minus ln space y plus 2 ln space z equals 6 end cell row cell 2 ln space w minus 3 ln space x plus 2 ln space y minus 6 ln space z equals negative 6 space end cell row cell 3 ln space w minus 3 ln space x plus 2 ln space y minus 5 ln space z equals negative 3 end cell end table close space space space {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"{\" close=\"\"><mtable columnalign=\"left\"><mtr><mtd><mo> </mo><mi>ln</mi><mo> </mo><mi>w</mi><mo>-</mo><mn>2</mn><mi>ln</mi><mo> </mo><mi>x</mi><mo>-</mo><mi>ln</mi><mo> </mo><mi>y</mi><mo>+</mo><mn>3</mn><mi>ln</mi><mo> </mo><mi>z</mi><mo>=</mo><mn>3</mn><mo> </mo><mo> </mo></mtd></mtr><mtr><mtd><mn>2</mn><mi>ln</mi><mo> </mo><mi>w</mi><mo>-</mo><mn>4</mn><mi>ln</mi><mo> </mo><mi>x</mi><mo>-</mo><mi>ln</mi><mo> </mo><mi>y</mi><mo>+</mo><mn>2</mn><mi>ln</mi><mo> </mo><mi>z</mi><mo>=</mo><mn>6</mn></mtd></mtr><mtr><mtd><mn>2</mn><mi>ln</mi><mo> </mo><mi>w</mi><mo>-</mo><mn>3</mn><mi>ln</mi><mo> </mo><mi>x</mi><mo>+</mo><mn>2</mn><mi>ln</mi><mo> </mo><mi>y</mi><mo>-</mo><mn>6</mn><mi>ln</mi><mo> </mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>6</mn><mo> </mo></mtd></mtr><mtr><mtd><mn>3</mn><mi>ln</mi><mo> </mo><mi>w</mi><mo>-</mo><mn>3</mn><mi>ln</mi><mo> </mo><mi>x</mi><mo>+</mo><mn>2</mn><mi>ln</mi><mo> </mo><mi>y</mi><mo>-</mo><mn>5</mn><mi>ln</mi><mo> </mo><mi>z</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mspace linebreak=\"newline\"></mspace><mspace linebreak=\"newline\"></mspace><mo> </mo><mspace linebreak=\"newline\"></mspace><mspace linebreak=\"newline\"></mspace><mspace linebreak=\"newline\"></mspace><mo> </mo><mo> </mo></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/d7b4da41139baee4-1670852465366.jpg)
Solve the system of equations given below.