What is the solution to the following system of equations? 2x + y = 0

x + 2y = 3

Group of answer choices

(0, 0)

(-1, 2)

(2, -4)

(-5, 4)

(-1,2)

Steps:

Solve by elimination

Multiply the first equation by 2 to make the coefficients of x in both equations the same

2(x+2y=3)

2x+4y=6

Then line them up and subtract

2x+y=0
-2x+4y=6

= -3y=-6

Divide both sides by -3 to isolate y

y=2

Then substitute 2 for y into one of the equations to find x.

x+2(2)=3

x+4=3

x=-1

Iknow one of the answers is a and maybe b but not 100% sure about b

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.