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

Answer:

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

Step-by-step explanation:

Given the system of equations as:

$y= \dfrac{1}{2}x-6$

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 $y$.

$y= \dfrac{1}{2}x-6$

$\Rightarrow y= \dfrac{1}{2}\times (-4)-6\\\Rightarrow y= -\dfrac{1}{2}\times 4-6\\\Rightarrow y= -2-6\\\Rightarrow \bold{y =-8}$

So,  the solution to the system of equations is:

$x = -4, y =-8$