Question

What are the coordinates of 2x-4y=6 and 3x+y=-5 ?

Answer 1

Answer:

The coordinates are x = -1 and y = -2.

Step-by-step explanation:

Given:

Equations are 2x-4y=6 and 3x+y=-5.

Now, to find the coordinates.

$2x-4y=6$...........(1)

$3x+y=-5$...........(2)

So, first we solve the equation 1 to get the value of $x$.

$2x-4y=6$

Subtracting both sides by $-4y$ we get:

$2x=6+4y$

Dividing both sides by 2 we get:

$x=3+2y$

Now, we put the value of $x$ in equation 2 to get $y$.

$3x+y=-5$

$3(3+2y)+y=-5$

$9+6y+y=-5$

$9+7y=-5$

On solving the whole equation we get :

$y=-2$

And, now putting the value of $y$ in equation (1) we get $x$:

$2x-4y=6$

$2x-4(-2)=6$

$2x+8=6$

$2x=6-8$

$2x=-2$

on solving we get:

$x=-1$

Therefore, the coordinates are x=-1 and y=-2.