Question

How do you solve the system of equations `3x + 2y = - 3` and `12x + 8y = - 4`?

Answer 1

No solution

Explanation:

Divide the second equation by 4. It becomes 3x +2y= -1.

Now compare the slopes of both the straight lines represented by these equations. To do this, solve for y,

the first equation becomes, `y= -3/2 x -3/2`
the second equation becomes `y= -3/2 x -1/2`

The slopes of both lines are same `-3/2`. This means both are parallel and will never meet. Hence no solution.