Question

What is the solution to the system of equations below?

Answer 1

We have been given a system of equations. $y=-6x-10$ and $y=-\frac{1}{2}x-21$. We are asked to find the solution of our given system of equations.

To find the solution of our given system of equations, we will equate both equations as:

$-6x-10=-\frac{1}{2}x-21$

$-6x-10+10=-\frac{1}{2}x-21+10$

$-6x=-\frac{1}{2}x-11$

$-6x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x-11$

$-\frac{12}{2}x+\frac{1}{2}x=-11$

$-\frac{11}{2}x=-11$

$\frac{-2}{11}\cdot -\frac{11}{2}x=-11\cdot \frac{-2}{11}$

$x=2$

Upon substituting $x=2$ in equation $y=-6x-10$, we will get:

$y=-6x-10\Rightarrow -6(2)-10=-12-10=-22$

Therefore, the solution of our given system of equations would be $(2,-22)$ and option A is the correct choice.

Answer 2

Answer:

The correct answer is (2,-22)

Step-by-step explanation:

Her is proof: