Question

Y = A system of equations. Y equals StartFraction one-half EndFraction x minus 6. X equals negative 4.X – 6 x = –4 What is the solution to the system of equations?

Answer 1

`x = -4, y =-8` is the solution to the system of equations.

Explanation:

Given the system of equations as:

`y= (1)/(2)x-6`

and

`x =-4`

To find:

The solution to the system of equations = ?

Solution:

Here, we are given two equations and two variables i.e.
`x` and
`y`.

So, we can solve the system of equations for the values of
`x` and
`y`.

Let us first consider the 2nd equation.

`x =-4` we already have the value of
`x`.

Now, let us put the value of
`x` in the 1st equation to find the value of
`y`.

`y= (1)/(2)x-6`

`\Rightarrow y= (1)/(2)* (-4)-6\\\Rightarrow y= -(1)/(2)* 4-6\\\Rightarrow y= -2-6\\\Rightarrow \bold{y =-8}`

So, the solution to the system of equations is:

`x = -4, y =-8`