2. Consider the following system of equations.

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer:

see below

Step-by-step explanation:

first equation: slope = 2, y intercept = (0,4)

second equation: slope = -1, y intercept = (0,5)

They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.

You might be interested in

4x + 5x + 12 = 6(x-2)<br> Math

Rashid [163]

Hi there! :)

$\large\boxed{x = -8}$

4x + 5x + 12 = 6(x - 2)

Combine like terms and distribute the coefficient outside of the parenthesis:

9x + 12 = 6(x) + 6(-2)

9x + 12 = 6x - 12

Subtract 6x from both sides:

9x - 6x + 12 = 6x - 6x - 12

3x + 12 = -12

Subtract 12 from both sides:

3x + 12 - 12 = -12 - 12

3x = -24

Divide both sides by 3:

3x/3 = -24/3

x = -8.

4 0

3 years ago

HELP ASAP

denis-greek [22]

A) I included a graph, look below.

B)

Input the y in x = y + 3.

x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0

Input that x value in y = -4x - 3

y = -4(0) - 3
y = 0 - 3
y = -3

(0, -3)

C)

Convert both equations to Standard Form.

x = y + 3
Subtract y from both sides.
x - y = 3

y = -4x - 3
Add 4x to both sides.
4x + y = -3

Add the equations together.

4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0

Input that into one of the original equations.

0 = y + 3
Subtract 3 from both sides.
-3 = y

(0, -3)