Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x + 5 y = –2x – 1 A. (0, –1) B. (0, 5) C. (–2, 3) D. (–2, –1)

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Aqunictank Aqunictank · Answer 1 · 2018-03-15T18:46:24+01:00

Look at the picture. Here I have inserted the two functions, the green is the first. Can you find the solution? I also included all the answers.

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wifilethbridge wifilethbridge · Answer 2 · 2019-01-17T06:03:35+01:00

Answer:

C. (–2, 3)

Step-by-step explanation:

Given :

[tex]y=x+5\\y=-2x-1[/tex]

Solution :

Equation a : y=x+5

Equation b : y = -2x-1

We will use substitution method

Putting the value of y from equation a in equation b

⇒[tex]x+5 = -2x-1[/tex]

⇒[tex]x+2x= -1-5[/tex]

⇒[tex]3x= -6[/tex]

⇒[tex]x=\frac{-6}{3}[/tex]

⇒[tex]x=-2[/tex]

Now substituting value of x in equation a to get value of y

⇒[tex] y=x+5[/tex]

⇒[tex] y=-2+5[/tex]

⇒[tex] y=3[/tex]

Thus the solution of given system of equations is (-2,3)

Thus The Option C is correct.

We have also solved it by graphing the equations you can refer the attached figure.