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navik [9.2K]
3 years ago
9

How to solve linear equations with inverse operations in each step

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0
Number one would be 13 because you have to add the x to both sides which will leave you with 2x=26 then you have to divide by 2 and you will get x=13. Number two is 7 7/8 because you have to add the 1/3x to the other 1/3x to get 2/3x= 5 1/4 so then you divide both sides by 2/3 and to divide a fraction you do keep change flip so it would be 21/4 times 3/2 which would be 63/8 which simplifys to 7 7/8.
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Which expression will you generate if you combine the like terms in 5x + 6x + y + y + 3y + 4 + 6 + 2?
Anika [276]

Answer:

5x and 6x both have the letter x. Let's combine them! 5x+6x = 11x

y, y, and 3y all have the letter y. You can imagine y to be 1y, they're the same.

1y + 1y + 3y = 5y

4, 6, and 2 don't have any letters. 4 + 6 + 2 = 12

Now you have to put all the final terms together to get: 11x + 5y +12

Step-by-step explanation:

4 0
2 years ago
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What is the geometric mean of 3 and 18
anyanavicka [17]

Answer:

3 \sqrt{6}

7 0
2 years ago
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Which equation represents the line that passes through (5,8) and (9,2)
Dahasolnce [82]
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0
3 years ago
The double number line shows that 4 bottles of water cost 10 dollars at a music festival ​
pickupchik [31]

Answer:

That means that each water is $2.50, das crazy tho

Step-by-step explanation:

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3 years ago
Gina saw twice as many tigers as lions at the zoo. The number of bears she saw was 7 less than the number of tigers. She saw fiv
Fynjy0 [20]
Gina saw 25 monkeys 
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5 + 7 = 12
12 + 6 = 18
25 + 5 +12 + 6 = 48 animals 
gina saw 48 animals at the zoo
8 0
2 years ago
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