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)
Answer:
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
One-sixth x + 47
Step-by-step explanation:
The original expression in the problem is
We need to expand this expression. First, we apply the distributive property and we multiply each of the numbers outside the bracket by each term in the brackets:
Now we can rewrite this expression in several ways. For instance, we can rewrite the two fractions as mixed fractions, and we get:
Also as
And now we add together the similar terms (those in x and those without x), and we find:
So the three options are
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
One-sixth x + 47
Hi!
If you are using a calculator, you just simply plug it in! For example, to convert 3/7 you would do 3 divided by 7 which gives you .428.