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AURORKA [14]
3 years ago
9

1 thanks for your help!

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0

Answer:

Solution is

(\frac{1}{2},\frac{-3}{2})

Which is Option C

Step-by-step 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

\frac{22x}{22}=\frac{11}{22}

or

x=\frac{1}{2}

Now we have equation (iii) which tells us that

y= -3x

Putting value of x here

y = -3(\frac{1}{2})

It becomes

y = \frac{-3}{2}

So

Solution set of the equation is

(\frac{1}{2},\frac{-3}{2})



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