Question

One equation of a pair of dependent linear equations is $x+y=30$. The second equation can be

• A. $4x+5y=150$
• B. $5x+5y=150$
• C. $5x+5y=15$
• D. $4x+5y=150$

Answer 1

The correct option is B $5x+5y=150$

When we plot the 2 lines, if we get a single line, then the two lines are coincident lines and dependent linear equations.
We have the equation $x+y=30.$
Multiplying both the sides by 5, we get $5x+5y=150.$
Hence, $x+y=30$ and $5x+5y=150$ are coincident lines/pair of dependent linear equations.