Question

Solve the system

2x + y = -3

-2y = 6 + 4x

Write each equation in slope-intercept form.

y = bx+

y =

DONE

Intro

Answer 1

Answer:

The slope-intercept form of both equations is $y=-2x-3$.

Step-by-step explanation:

The given system of equations is

$2x+y=-3$

$-2y=6+4x$

The slope-intercept form of an equation is

$y=mx+b$

where, m is slope and b is y-intercept.

We need to write each equation in slope-intercept form.

First equation is

$2x+y=-3$          (Given)

$y=-2x-3$           (Subtract 2x on both sides)

The slope-intercept form of first equation is $y=-2x-3$.

Second equation is

$-2y=6+4x$         (Given)

$y=\dfrac{6+4x}{-2}$         (Divide both sides by -2)

$y=\dfrac{6}{-2}+\dfrac{4x}{-2}$

$y=-3-2x$

$y=-2x-3$

The slope-intercept form of first equation is $y=-2x-3$.

Both equation have same slope intercept form it means both lines coincide each other.

So, the given system of equation have infinitely many solutions.