Answer:
x = 3
Step-by-step explanation:
First set up the problem like this:
14x-17 = 8x + 1
Now we subtract 14x from each side. This leaves us with:
-17 = 6x+1
Now we need subtract 1 from each side, leaving us with:
-18 = -6x
And now we divide each side by 6x, leaving us with.
3 = x.
And if you insert three into both of the equations, it will result in 25.
(Hope this helped!)
Answer:

Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:

The given line has a slope m1=5, thus the slope of our required line is:

The equation of the line now can be expressed as:

We need to find the value of b, which can be done by using the point (7,2):

Operating:

Multiplying by 5:

Operating:

Solving for b:

The equation of the line is:

Answer:
35.50= 3x+5x+15.5
Step-by-step explanation:
C = # of carpenter hrs , b = # of blacksmith hrs
c + b = 30...c = 30 - b
20c + 25b = 690
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith
c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter