Question

Solve the system

2x + y = -3

-2y = 6 + 4x

Write each equation in slope-intercept form.

y = bx+

y =

DONE

Intro

Answer 1

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

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=(6+4x)/(-2)` (Divide both sides by -2)

`y=(6)/(-2)+(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.