Answer:
<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>
Step-by-step explanation:
PART A:
The first equation is ![x + y = 7\\y = 7 - x .............(a)](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%207%5C%5Cy%20%3D%207%20-%20x%20%20.............%28a%29)
The second equation is ![3x - 2y = 1\\2y = 3x - 1](https://tex.z-dn.net/?f=3x%20-%202y%20%3D%201%5C%5C2y%20%3D%203x%20-%201)
Putting the value of y from (a) in the above equation, we get ![2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15](https://tex.z-dn.net/?f=2y%20%3D%203x%20-%201%5C%5C2%287%20-%20x%29%20%3D%203x%20-%201%5C%5C14%20-%202x%20%3D%203x%20-%201%5C%5Cx%20%3D%2015)
From (a) we get y = 7 - x = 7 - 15 = -8
PART B:
Here the system of equations are ![-x + 4y = 17........(a) and 3x - 5y = -30.........(b)](https://tex.z-dn.net/?f=-x%20%2B%204y%20%3D%2017........%28a%29%20and%203x%20-%205y%20%3D%20-30.........%28b%29)
From (a) we get, ![x = 4y - 17](https://tex.z-dn.net/?f=x%20%3D%204y%20-%2017)
Putting the above value of x in (b) we get, ![3x - 5y = -30\\3(4y - 17) - 5y = -30\\12y - 51 - 5y = -30\\7y = 21\\y = 3](https://tex.z-dn.net/?f=3x%20-%205y%20%3D%20-30%5C%5C3%284y%20-%2017%29%20-%205y%20%3D%20-30%5C%5C12y%20-%2051%20-%205y%20%3D%20-30%5C%5C7y%20%3D%2021%5C%5Cy%20%3D%203)
Hence, ![x = 4y - 17 = 12 - 17 = -5](https://tex.z-dn.net/?f=x%20%3D%204y%20-%2017%20%3D%2012%20-%2017%20%3D%20-5)
Answer:
-3
Explanation:
![\frac{-24}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-24%7D%7B7%7D%20)
= -3
So first make the improper fraction into a mixed number by taking out all the whole numbers from the numerator (3) and making sure the proper sign is in front of the answer (- 3) your remainder is the original numerator minus the product of the answer times the denominator: 24 - (3 • 7) = 24 - 21 = 3. Rewrite the mixed number.
Answer: -7/5
Step-by-step explanation:
x = - 5cm^2 - 7m^2 + 35/ m (5c - 7), C = (cross out the equal sign) 7/5 and m = (cross out the equal sign) 0 and n = -7/5
12:(3)(2)(2)
36:(3)(3)(2)(2)
GCF:12