Question

Solve the system

2x + y = -3
-2y = 6 + 4x
Write each equation in slope-intercept form.
y =
X
+
y =
x
+

Answer 1

Explanation:

I am gonna put these equations in slope intercept form first....u will see why in a second...

slope intercept form is y = mx + b

2x + y = -3.....subtract 2x from both sides

y = -2x - 3 <=== slope intercept form

-2y = 6 + 4x ....divide both sides by -2

y = (-6/2) + (-4/2)x

y = -3 - 2x....rearrange

y = -2x - 3 <=== slope intercept form

now notice how both equations, in slope intercept form, are EXACTLY the same......thats because they are the same line.....meaning the solution to these equations is : INFINITE SOLUTIONS

Answer 2

y= -2x + -3

y= -2x + -3

They have everything in common. The y-intercept, slope, and lines.

The system represents lines that

coincide

, therefore the system has

infinitely many solutions.

Explanation: