Question

Solve the system. 2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form.

Answer 1

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

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2x + y = -3       subtract 2x from both sides

y = -2x - 3

-2y = 6 + 4x

-2y = 4x + 6     divide both sides by (-2)

y = -2x - 3

We have the same equations. Therefore the system of equations is dependent. Has an infinite number of solutions

x ∈ R

y = -2x - 3

Answer 2

Answer:

Solve the system.

2x + y = −3 −2y = 6 + 4x

Write each equation in slope-intercept form.

y = -2x   +   -3

y = -2x +   -3

What do the equations have in common?

The slopes are the same.

The y-intercepts are the same.

The lines are the same.

all this is right trust me i just did it