Question

1
thanks for your help!

Answer 1

Solution is

`((1)/(2),(-3)/(2))`

Which is Option C

Explanation:

We are given the equations

4x - 6y = 11 ...............(i)

3x+y = 0 ..............(ii)

Now from equation (ii) we have

3x + y = 0

subtracting 3x from both sides we get

3x + y - 3x = 0 - 3x

y = -3x ....................(iii)

substituting this value in equation (i) which is

4x - 6y =11

Putting the value of y

4x - 6(-3x) = 11

4x + 18x = 11

22x = 11

Dividing both sides by 22

we get

`(22x)/(22)=(11)/(22)`

or

x=
`(1)/(2)`

Now we have equation (iii) which tells us that

y= -3x

Putting value of x here

y = -3(
`(1)/(2)`)

It becomes

y =
`(-3)/(2)`

So

Solution set of the equation is

`((1)/(2),(-3)/(2))`