Question

3x-6y=-12

x-2y=-8

Is it:

Inconsistent

Not enough information

Coincident

Consistent Independent

Answer 1

• Inconsistent

Explanation:

Equation 1

• 3x - 6y = -12
• Divide throughout by 3 to simpliest form
• x - 2y = -4

Equation 2

• x - 2y = -8

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

Answer 2

(a) Inconsistent

Explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

3x -6y = -12 . . . . given first equation

x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.