Question

Solve the given linear system of equations:6serбу9y– 120 +18One solution:O No solutionO Infinite number of solutions

Answer 1

no solution (2nd option)

Step-by-step explanation:

8x - 6y = 6 .....equation 1

-12x + 9y = 18 .....equation 2

Using elimination method:

we will eliminate y by making both coefficient of y to be the same.

This is done by multiplying equation 1 by 3 and equation 2 by 2

24x - 18y = 18 .....equation 1

-24x + 18y = 36 ....equation 2

Adding both equation:

24x - 24x -18y + 18y = 18 + 36

0 + 0 = 54

`\begin{gathered} 0\\e\text{ 54} \\ \end{gathered}`

Since 0 is not equal to 54, there is no solution (2nd option)