michaela062205
contestada

Consider the system of equations, x - 2y = 8 and -2x+4y=-16.
What is x - 2y = 8 in slope-intercept form?
What is -2x + 4y = –16 in slope-intercept form?
How many solutions will there be?
What will the graph of the system look like?​

Respuesta :

artsykhathy

Answer:

Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.

What is x – 2y = 8 in slope-intercept form?

y=(1/2)x - 4

What is –2x + 4y = –16 in slope-intercept form?

y=(1/2)x - 4

How many solutions will there be?

infinitely many solutions

What will the graph of the system look like?

the lines are exactly the same

(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]-2x+4y=-16 \\y=\frac{1}{2}x-4[/tex]

Solution is infinite

Graph of the system are the lines that lies one above the other.

Given :

System of equations

[tex]x - 2y = 8 \\ -2x+4y=-16[/tex]

slope intercept form of the equation is y=mx+b

Lets solve each equation for y

[tex]x - 2y = 8 \\-2y=-x+8\\y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Lets solve the second equation for y

Slope intercept form of the equation

[tex]-2x+4y=-16\\4y=2x-16\\y=\frac{1}{2}x-4[/tex]

The slope intercept form of both the equations are same

So there are infinite solutions for the given system of equations.

When the solution is infinite then the graph of equation are the lines that lies one above the other .

Learn more :  brainly.com/question/21010893

Otras preguntas