Question

Solve the following linear equations. Also find the coordinates of the points where the lines meet axis of $y$.
$3x+y-5=0$,
$2x-y-5=0$

• A. $x=2,y=-1;(0,5),(1,-5)$
• B. $x=2,y=1;(1,5),(0,-5)$
• C. $x=2,y=1;(0,5),(1,-5)$
• D. $x=2,y=-1;(0,5),(0,-5)$

Answer 1

Answer: (D)

$x=2,y=-1;(0,5),(0,-5)$

Given lines are $3x+y=5$ and $2x-y=5$

Solving those equation

Adding both the equations we get $5x=10$

So $x=2$.

Substituting $x=2$ in equation $2x-y=5$

$2\times 2-y=5$

$y=-1$

Equation of $y-axis$ is $x=0$

So let us substitute it in $3x+y=5$ then we get $y=5$.

So line $3x+y=5$ meet $y-axis$ at point $(0,5)$

Similarly now we substitute $x=0$ in $2x-y=5$ then we get $y=-5$

Thus line $2x-y=5$ meets $y-axis$ at point $(0,-5)$