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.
133 stickers and 36 markers
Answer:
final answer is 6/(y^8)
Step-by-step explanation:
(3y^-4) = 3/(y^4)
(2y^-4) = 2/(y^4)
3*2 = 6
Add exponents y^4+y^4 = y^8
hence 6 / (y^8)
To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.
Expand (4x)².
Calculates 4 to the power of 2 and gets 16.
Y = -2x + 5
That's the answer and you find it by finding the slope by using (4,-3) and (-2,9). You subtract -3 from 9 over 4 from -2. After you find the slope which would be -2 you use the equation y-y1 = slope(x - x1). You plug in any coordinates and find the answer.
