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Dominik [7]
3 years ago
5

What is the solution to the system of equations below?

Mathematics
2 answers:
hram777 [196]3 years ago
4 0

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.

Dahasolnce [82]3 years ago
3 0

Answer:

The correct answer is (2,-22)

Step-by-step explanation:

Her is proof:

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