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

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

x/3-10=8

x/3=18

x=48