Table of contents
- 0. Review of Algebra(846)
- 1. Equations & Inequalities(1104)
- 2. Graphs of Equations(217)
- 3. Functions(524)
- 4. Polynomial Functions(334)
- 5. Rational Functions(99)
- 6. Exponential & Logarithmic Functions(453)
- 7. Systems of Equations & Matrices(489)
- 8. Conic Sections(140)
- 9. Sequences, Series, & Induction(151)
- 10. Combinatorics & Probability(86)
7. Systems of Equations & Matrices
Two Variable Systems of Linear Equations
7. Systems of Equations & Matrices
Two Variable Systems of Linear Equations: Study with Video Lessons, Practice Problems & Examples
44PRACTICE PROBLEM
Solve the given system of linear equations using the elimination method.
![open curly brackets table row cell fraction numerator x space over denominator 7 end fraction plus fraction numerator space y space over denominator 14 end fraction equals space 8 end cell row cell fraction numerator x space over denominator 4 end fraction plus fraction numerator space y space over denominator 8 end fraction equals space 14 end cell end table close {"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><mfrac><mrow><mi>x</mi><mo> </mo></mrow><mn>7</mn></mfrac><mo>+</mo><mfrac><mrow><mo> </mo><mi>y</mi><mo> </mo></mrow><mn>14</mn></mfrac><mo>=</mo><mo> </mo><mn>8</mn></mtd></mtr><mtr><mtd><mfrac><mrow><mi>x</mi><mo> </mo></mrow><mn>4</mn></mfrac><mo>+</mo><mfrac><mrow><mo> </mo><mi>y</mi><mo> </mo></mrow><mn>8</mn></mfrac><mo>=</mo><mo> </mo><mn>14</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/ad9bc75a6da5767e-1682003735386.jpg)
Solve the given system of linear equations using the elimination method.