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.
Hope I helped (SharkieOwO)
40=6.95c+5.25
The $40 is what you want it all to equal, so that goes to one side by itself.
The CDs are 6.95 each, so they get a variable to show that.
The 5.95 is added to that, showing that it's only charged once.
Then, all you have to do is solve for c, which is the number of CD's you can buy.
Answer:
A, C, and D
Step-by-step explanation:
The answer is B. She sells each orange for $0.50 and the question is asking for the total amount of money she will make by selling a certain amount of oranges. t represents the total so the equation will to equal to t. c is the number of oranges she will sell so c multiplied by $0.50 will give the total amount of money she will make.
