Question

Find the equation of the line through the intersection of $2x+y=8,3x–7=y$ and parallel to $4x+y=11$.

• A. 4x + y =14
• B. x + 4y -10 = 0
• C. 3x + 4y -14 = 0
• D. 3x + y -11 = 0

Answer 1

The correct option is A

4x + y =14

To obtain the $x$ & $y$ coordinate, we need to solve the equation $2x+y=8$ and $3x–7=y$

After solving, we get $x=3,y=2$

Slope of a line parallel to $4x+y=11$ is $-4$

So, equation of the required line is $(y-2)=(-4)(x-3)$

$y-2=-4x+12$

$4x+y=14$