9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
_____
<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
<u><em>To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?</em></u>
<u><em></em></u>
<u><em>L=length=15.5 ft; W=width; A=area=>170.5 sq ft</em></u>
<u><em></em></u>
<u><em>L*W=>170.5 sq ft Divide each side by L</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>W=>170.5 sq ft/L</em></u>
<u><em></em></u>
<u><em>W=>170.5 sq ft/15.5 ft=>11 feet</em></u>
<u><em></em></u>
ANSWER: To cover at least 170.5 sq ft. the width must be at least 11 feet.
<h2><em><u>
Brainly pls</u></em></h2>
This is an exponential equation with a starting value of 12000 and an increase of 15% each years.
The following are true:
C. Each year, it increases by 15%
E. The painting's value was 12,000 at the time is was sold.
