Question

Need help..Can't understand this..

Answer 1

E

Explanation:

Given the system of two equations:

`\left\{\begin{array}{l}(2)/(3)x-(1)/(2)y=1\\ \\-(4)/(3)x+y=-3\end{array}\right.`

Multiply the first equation by 6 and the second equation by 3 to eliminate fractions:

`\left\{\begin{array}{l}4}x-3y=6\\ \\-4x+3y=-9\end{array}\right.`

Add these two equations:

`4x-3y-4x+3y=6-9\\ \\0=-3`

You get false equality
`(0\\eq -9)`, so the system of two equations has no solution (two equations represent parallel lines)