Question

How do you solve the following linear system: `2x - 3y = 4 , 6y = 4x + 15`?

Answer 1

The given pair of equations have no common solution.

Explanation:

Given
[1]`color(white)("XXX")2x-3y=4`
[2]`color(white)("XXX")6y=4x+15`

Convert [2] into standard form (`Ax+By=C`)
[3]`color(white)("XXX")4x-6y=-15`

Notice that the Left Side of [3] is exactly `2` times the Right Side of [1] (but the Right Side is not twice the Right Side of [1])
`rArr` these equations represent parallel lines with no point(s) of intersection (i.e. no solution points)