What is the solution of the system of linear equations below?
2x - 6y=12
-1 + 3y = -2
A.
(0,-2)
B. (6,0)
C.
no solution
D.
(-2,0)​

Respuesta :

Answer:

C no solution because -(0)+3(-2) does not equal 12 and the rest don't neither

Step-by-step explanation:

The solution of the system of equations will be x = 5  and [tex]y=\frac{-1}{3}[/tex].

What is system of equations?

System of equations is a finite set of equations for which common solutions are sought.

We have,

2x - 6y = 12     .....(i)

-1 + 3y = -2    .....(ii)

So,

Rewrite the equation (ii),

We get,

3y = -2 + 1

3y = -1,     .....(iii)

[tex]y=\frac{-1}{3}[/tex]

Now

Rewrite the equation (i), by taking 2 as common,

We get,

x - 3y = 6     .....(iv)

Now,

Substitute 3y = -1 in equation (iv),

i.e.

x - 3y = 6

We get,

x - (-1) = 6

x + 1 = 6

x = 5

So, Solution of given expression are x = 5 and [tex]y=\frac{-1}{3}[/tex].

Hence, we can say that the solution of the system of equations will be x = 5 and [tex]y=\frac{-1}{3}[/tex].

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