What is the solution to the system of equations below? y = one-half x minus 4 and y = negative 2 x minus 9 (–2, –5) (–2, –3) (2, –3) (2, –13)

Question

asked Mar 14, 2021 73.7k views

2 Answers

Reckoner · Answer 1 · 2021-03-21T11:04:54+0000

We have been given a system of equations
y=(1)/(2)x-4 and
y=-2x-9 . We are asked to find the solution of our given system of equations.

To solve our system of equations, we will equate both equations as:

(1)/(2)x-4=-2x-9

(1)/(2)x-4+4=-2x-9+4

(1)/(2)x=-2x-5

(1)/(2)x+2x=-2x+2x-5

(1)/(2)x+(4)/(2)x=-5

(1+4)/(2)x=-5

(5)/(2)x=-5

$(2)/(5)\cdot (5)/(2)x=-5\cdot (2)/(5)$

x=-2

Upon substituting
x=-2 in equation
y=-2x-9 , we will get:

y=-2(-2)-9

y=4-9

y=-5

Therefore, the solution of our given system of equations would be
(-2,-5) and option A is the correct choice.