Question

Solve and verify each of the following of linear eequations

2X+3y=432 and 5x-2y=16

Answer 1

2x+3y=432 becomes y=-2/3x+144 and 5x-2y=16 which becomes y=5/2x-8

Answer 2

There are 3 available methods- Substitution , Elimination and Matrix.

To solve this linear equations lets use Matrix's.


`\left[\begin{array}{ccc}2&3&432\\5&-2&16\\\end{array}\right]`


`\left[\begin{array}{ccc}2&3&432\\0&-19/2&-1064\\\end{array}\right]`


`\left[\begin{array}{ccc}2&3&432\\0&1&112\\\end{array}\right]`


`\left[\begin{array}{ccc}2&0&96\\0&1&112\\\end{array}\right]`


`\left[\begin{array}{ccc}1&0&48\\0&1&112\\\end{array}\right]`


`x=48`


`y=112`