Mathematics: 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)

Solve the system of equations below by graphing

kristalmakhija

15.03.2022

C. (–2, 3)

Step-by-step 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

⇒ $x=\frac{-6}{3}$

⇒ 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.

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