what is the solution? y=x+5 y=-2x-1 a. (0,5) b. (-2,-1) c. (-2,3) d. (0,-1)

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the equation:

y = x + 5

y = -2x - 1

Solve for the solution.

Solution:

In order to solve for the solution, we simply equate the two equations into one single equation.

x + 5 = -2x - 1

Transpose -2x and 5 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

x + 2x = -1 -5

3x = -6 

Divide both sides of the equation by 3 in order to determine  the value of x.

3x/3 = -6/3

x = -2

Final answer:

x = -2