Respuesta :

System: 2x + y = -3, -2y = 6 + 4x

We can solve it through elimination

-2y = 6 + 4x, y = -3 - 2x --> multiply the second equation by 2 -->

-2y = 6 + 4x, 2y = -6 - 4x --> add these two equations together -->

0 = 0: All real solutions

Slope intercept form (y = mx + d):

2x + y = -3 -->Subtract 2x--> y = -2x - 3

-2y = 6 + 4x --> Divide by -2 --> y = -3 - 2x --> y = -2x - 3

The equations have infinitely many solutions and the equation in slope intercept form is y= -2x-3. This can be obtained by understanding the slope-intercept form of the equation.

What is the slope-intercept form of the equation?

y= mx+b, where m is the slope and b is y intercept.

Solve the system:

First equation ⇒ 2x+y= -3

Second equation ⇒ -2y = 6+4x ⇒4x+2y = -6

First equation ×2⇒4x+2y= -6

∴Both equations are equal; so there are infinitely many solutions.

What is the equation in slope-intercept form?

The given equation, 2x+y= -3

            ⇒ y= -3-2x is the required form.

Hence the equations have infinitely many solutions and the equation in slope intercept form is y= -2x-3.

Learn more about slope-intercept form here:

brainly.com/question/2129685

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