Question

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

Answer 1

2x + y = -3
y = -2x - 3

-2y = 6 + 4x
y = -2x - 3

when solved,this system of equations will have infinite solutions because u r dealing with the same line

Answer 2

Solution:

There will be Infinitely many solutions.

Explanation:

We have been given the system of equation

$2x+y=-3.............(1)\\-2y=6+4x...........(2)$

The slope intercept form of a line is given by y=mx+b, where m is the slope and b is the y intercept.

Let us write both equations in slope- intercept form

$2x+y=-3\\\\y=-2x-3$

The second equation is

$-2y=6+4x\\\\\text{Divde both sides by -2}\\\\y=-3-2x$

Now, we have to solve this system of equation.

We have calculated the values of y for both equation. Hence, both should be same

$-2x-3=-2x-3\\0=0$

We got a true condition.

Hence, there will be Infinitely many solutions.