Answer:
Value of x=4 and y=-13/3
Step-by-step explanation:
We need to solve the systems of equations
![5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}](https://tex.z-dn.net/?f=5x%2B3y%3D7%20%5C%20and%20%5C%20%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B3%7D%7B4%7Dy%20%3D9%5Cfrac%7B1%7D%7B4%7D)
Solving using substitution method:
Let:
![5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)](https://tex.z-dn.net/?f=5x%2B3y%3D7---eq%281%29%20%5C%5C%20%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B3%7D%7B4%7Dy%20%3D9%5Cfrac%7B1%7D%7B4%7D---eq%282%29)
Find value of x from eq(1) and put in eq(2)
![5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}](https://tex.z-dn.net/?f=5x%2B3y%3D7%5C%5C5x%3D7-3y%5C%5Cx%3D%5Cfrac%7B7-3y%7D%7B5%7D)
Put value of x in eq(2)
![\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%28%5Cfrac%7B7-3y%7D%7B5%7D%29%20-%5Cfrac%7B3%7D%7B4%7Dy%20%3D%5Cfrac%7B37%7D%7B4%7D%5C%5C%5Cfrac%7B21-9y%7D%7B10%7D%20-%5Cfrac%7B3%7D%7B4%7Dy%20%3D%5Cfrac%7B37%7D%7B4%7D%5C%5CTaking%20%5C%20LCM%5C%5C%5Cfrac%7B21%2A2-9y%2A2-3y%2A5%7D%7B20%7D%20%20%3D%5Cfrac%7B37%7D%7B4%7D%5C%5C%5Cfrac%7B42-18y-15y%7D%7B20%7D%20%20%3D%5Cfrac%7B37%7D%7B4%7D%5C%5C42-33y%3D%5Cfrac%7B37%7D%7B4%7D%2A20%5C%5C42-33y%3D185%5C%5C-33y%3D185-42%5C%5C-33y%3D143%5C%5Cy%3D%5Cfrac%7B143%7D%7B-33%7D%5C%5Cy%3D-%5Cfrac%7B13%7D%7B3%7D)
Now, finding value of x by putting value of y in eq(1)
![x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7-3y%7D%7B5%7D%5C%5Cx%3D%20%5Cfrac%7B7-3%28-%5Cfrac%7B13%7D%7B3%7D%29%20%7D%7B5%7D%5C%5Cx%3D%5Cfrac%7B7%2B13%7D%7B5%7D%5C%5Cx%3D%5Cfrac%7B20%7D%7B5%7D%5C%5Cx%3D4)
So, Value of x=4 and y=-13/3
-28.33 if you mean divided.
Answer:
Part A: 3/8 positive and 5/8 negative
Part B: 704 positive reviews
Step-by-step explanation:
Answer:
Step-by-step explanation:
20x - 10 - 10x + 10
Solving like terms
10x
Answer:
-2.225
Step-by-step explanation: