Question

A set of equations is given below:

Equation C: y = 4x + 8
Equation D: y = 4x + 2

Which of the following best describes the solution to the given set of equations?

No solution
One solution
Two solutions
Infinitely many solutions

Answer 1

@jameshorton

Answer 2

c

Answer 3

y=x+14 line 1

y=3x+2 line 2



These are both the equation of lines written in slope intercept form

y=mx+b where m is the slope and the point (0,b) is the y intercept.

The first line has a slope of m=1. The 2nd line has a slope of m=3



Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.



We already have y solved in terms of x from either equation so we can use substitution to solve the system.



Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.



x+14=3x+2

solve for x.

Subtract x from both sides...

14= 3x-x+2

14=2x+2

subtract 2 from both sides

14-2=2x

12=2x

divide both sides by 2

6=x



We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.



y=6+14

y=20



These two lines cross at the point (6,20) which is a point the two lines have in common.

Answer 4

This is for your last one.

Answer 5

huh what you mean

Answer 6

He posted a different question a second ago and said he thought it was A.

Answer 7

oh when

Answer 8

Just a few moments ago and you said he was right.

Answer 9

I just replied to it so you should be able to see that I did.

Answer 10

http://openstudy.com/study#/updates/56741d4be4b012befeb2ba52