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il63 [147K]
3 years ago
8

2. Solve for b in the linear equation 6b - 24 = 3(5b - 2)

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

Answer: b = −2

Step-by-step explanation:

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How do I solve this equation
Anestetic [448]
-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts.  First we have to solve for one of the variables in one of the equation in terms of the other variable.  I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8      add y to each side
-x = 8 + y      divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation.  In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1      multiply the 2 through the parentheses
-16 - 2y - y = -1      combine like terms
-16 - 3y = -1            add 16 to both sides
-3y = 15                   divide each side by -3
y = -5

Now we have a value for y.  We need to plug it into either of the original equations then solve for x.  I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8            multiply -1 through the parentheses
-x + 5 = 8                subtract 5 from each side
-x = 3                      divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0
3 years ago
Let p =Vector F G where F(0, 5) and G(–4, –3). What is the direction angle of Negative three-halves p?
Harlamova29_29 [7]

Answer:

B

63 Degrees

Step-by-step explanation:

Edge 2020

3 0
3 years ago
Read 2 more answers
Katie has read 32% of a book. If she has read 80 pages, how many more pages does Katie have left to read? Please explain
yawa3891 [41]
Keep note of these things before we start:
-Of is a keyword that tells us multiplication is being done
-x = total number of pages
-32% = 32/100 = .32

Okay, here we go:
32% of total number of pages = 80
.32 of x = 80
.32*x = 80
.32x = 80
.32x/.32 = 80/.32
x = 250

There are 250 pages in total in Katie's book.
To find out how many pages she has to read (y), subtract the pages read from the total:
TOTAL - PAGES READ = PAGES LEFT TO READ
250 - 80 = y
170 = y

Katie has 170 pages left to read
Hope this helps!
8 0
3 years ago
Solve the following inequality: 9x+2/3(−7x+6)−1≥2
klasskru [66]

Answer:

Step-by-step explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

5 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Triss [41]

Answer:

The Blue box is your answer

Step-by-step explanation:

Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.

5 0
3 years ago
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