X + y = 33
x - y = 9 Add the 2 equations together
---------------
2x = 42 Divide both sides by 2
x = 21
Use the original equation and plug 21 in for x, then solve.
x + y = 33
21 + y = 33
Subtract 21 from both sides
y = 12
One list had 21 items on it and the other list had 12 items on it.
Answer:
8.2
Step-by-step explanation:
Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
Answer:
x=-8
Step-by-step explanation:
16x+35 = -93
subtract 35 from each side
16x = -93 -35
16x = -128
divide each side by 16
x = -128/16
x=-8
