Step-by-step explanation:
Find the values of x and y to determine how many solutions.
Use the elimination method. Add both of the equations.
<u>Sum:</u>
<u />![3y=-1](https://tex.z-dn.net/?f=3y%3D-1)
<u>Divide each side by 3:</u>
<u />![\boxed{y=-\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D-%5Cfrac%7B1%7D%7B3%7D%7D)
<u />
<u>Substitute y = -(1/3) into the first equation:</u>
<u />![-5x+6(-\frac{1}{3})=-2](https://tex.z-dn.net/?f=-5x%2B6%28-%5Cfrac%7B1%7D%7B3%7D%29%3D-2)
<u>Multiply:</u>
<u />![-5x-2=-2](https://tex.z-dn.net/?f=-5x-2%3D-2)
<u>Add 2 to both sides:</u>
-5x = 0
We can determine:
![\boxed{x=0}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D0%7D)
(0, -1/3)
The system of equations have 1 solution.
<u />
Answer:
0.010
Step-by-step explanation:
full answer is this 0.01020408163
X=-3X=2 —> move the variable to the left handed side and change its sign
-2x=2 —> collect like terms
Divide both sides of the equation by -2 and your answer is x=-1
Answer:
30
Step-by-step explanation:
5% of 600 is 30 so that should be ur answer
Answer:
1. ![2 \frac{2}{7}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B2%7D%7B7%7D%20)
2. ![2 \frac{1}{3}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B3%7D%20)
3. ![\frac{5}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20)
4. ![8 \frac{2}{3}](https://tex.z-dn.net/?f=8%20%5Cfrac%7B2%7D%7B3%7D%20)
5. ![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20)
Step-by-step explanation:
<h2>
![1. \: \: 2 \frac{2}{3} \div 1 \frac{1}{6}](https://tex.z-dn.net/?f=1.%20%5C%3A%20%20%5C%3A%202%20%5Cfrac%7B2%7D%7B3%7D%20%20%20%5Cdiv%201%20%5Cfrac%7B1%7D%7B6%7D%20)
</h2>
![\frac{8}{3} \div \frac{7}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B3%7D%20%20%5Cdiv%20%20%5Cfrac%7B7%7D%7B6%7D%20)
![\frac{8}{3} \times \frac{6}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B7%7D%20)
![8( \frac{2}{7} )](https://tex.z-dn.net/?f=8%28%20%5Cfrac%7B2%7D%7B7%7D%20%29)
![\frac{8 \times 2}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20%5Ctimes%202%7D%7B7%7D%20)
![\frac{16}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%7D%7B7%7D%20)
![2 \frac{2}{7}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B2%7D%7B7%7D%20)
<h2>
![2. \: \: 6 \frac{2}{3} \div 2 \frac{6}{7}](https://tex.z-dn.net/?f=2.%20%5C%3A%20%20%5C%3A%206%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Cdiv%202%20%5Cfrac%7B6%7D%7B7%7D%20)
</h2>
![\frac{20}{3} \div \frac{20}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B3%7D%20%20%5Cdiv%20%20%5Cfrac%7B20%7D%7B7%7D%20)
![\frac{20}{3} \times \frac{7}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B20%7D%20)
![\frac{1}{3} \times 7](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%207)
![\frac{7}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3%7D%20)
![2 \frac{1}{3}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B3%7D%20)
<h2>
![3. \: \: 4 \frac{1}{6} \div 10](https://tex.z-dn.net/?f=3.%20%5C%3A%20%20%5C%3A%204%20%5Cfrac%7B1%7D%7B6%7D%20%20%5Cdiv%2010)
</h2>
![\frac{25}{6} \div \frac{10}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B6%7D%20%20%5Cdiv%20%20%5Cfrac%7B10%7D%7B1%7D%20)
![\frac{25}{6} \times \frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B6%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B10%7D%20)
![\frac{5}{6} \times \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B6%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B2%7D%20)
![\frac{5}{6 \times 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B6%20%5Ctimes%202%7D%20)
![\frac{5}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20)
<h2>
![4. \: \: 6 \frac{1}{2} \div \frac{3}{4}](https://tex.z-dn.net/?f=4.%20%5C%3A%20%20%5C%3A%206%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Cdiv%20%20%5Cfrac%7B3%7D%7B4%7D%20)
</h2>
![\frac{13}{2} \div \frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B2%7D%20%20%5Cdiv%20%20%5Cfrac%7B3%7D%7B4%7D%20)
![\frac{13}{2} \times \frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B3%7D%20)
![13( \frac{2}{3} )](https://tex.z-dn.net/?f=13%28%20%5Cfrac%7B2%7D%7B3%7D%20%29)
![\frac{13 \times 2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%20%5Ctimes%202%7D%7B3%7D%20)
![\frac{26}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B26%7D%7B3%7D%20)
![8 \frac{2}{3}](https://tex.z-dn.net/?f=8%20%5Cfrac%7B2%7D%7B3%7D%20)
<h2>
![5. \: \: 3 \frac{3}{4} \div 5 \frac{5}{8}](https://tex.z-dn.net/?f=5.%20%5C%3A%20%20%5C%3A%203%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Cdiv%205%20%5Cfrac%7B5%7D%7B8%7D%20)
</h2>
![\frac{15}{4} \div \frac{45}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B4%7D%20%20%5Cdiv%20%20%5Cfrac%7B45%7D%7B8%7D%20)
![\frac{15}{4} \times \frac{8}{45}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B8%7D%7B45%7D%20)
![\frac{1}{4} \times \frac{8}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B8%7D%7B3%7D%20)
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20)
<h3>Hope it is helpful...</h3>