Question

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)

Answer 1

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.

Answer 2

C. (–2, 3)

Explanation:

Given :

`y=x+5\\y=-2x-1`

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

⇒
`x+5 = -2x-1`

⇒
`x+2x= -1-5`

⇒
`3x= -6`

⇒
`x=(-6)/(3)`

⇒
`x=-2`

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

⇒
`y=x+5`

⇒
`y=-2+5`

⇒
`y=3`

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.