Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
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How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
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Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer:
see below
Step-by-step explanation:
x+ 7.05 = 45.3
Subtract 7.05 from each side
x+ 7.05-7.05 = 45.3-7.05
x =38.25
Let x be the number
x+3.5 = -4.3
Subtract 3.5 from each side
x+3.5 - 3.5 = -4.3-3.5
x = -7.8
x is the cost of the drawing tablet
x+ 3.95 = 6.94 correct
The second equation add the total cost plus the cost of the drawing tablet and sets it equal to the cost of the pencils. This is not correct
6.94+x = 3.95 incorrect
63 as the product of prime numbers is 3 x 3 x 7.
The highest common factor of 63 and 105 is 21.
Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.
Factors of 63 are: 1, 3, 7, 9, 21, and 63
Prime numbers that are products of 63 = 3 x 3 x 7
The factor of a number is a number that can divide another number without leaving any remainder.
- Factors of 63 = 1, 3, 7, 9, 21, and 63
- Factors of 105 = 1, 3, 5, 7, 15, 21, 35 and 105.
- Common factors = 1, 3, 7, 21
- Highest common factor = 21
To learn more about prime numbers, please check: brainly.com/question/4184435
Answer:
120 pages
Step-by-step explanation:
1/2 h ↔ 20 pages
1 h ↔ 40 pages
3 h ↔ 120 pages
