3 2/3x + 3 1/4 = 6
Subtract 3 1/4 from both sides:
3 2/3x = 2 3/4
Divide both sides by 3 2/3:
x = 2 3/4 / 3 2/3
x = 3/4
The answer is C.
Answer:
$10.80
Step-by-step explanation:
$60.00 x 0.18 = $10.80
![\bold{\huge{\orange{\underline{ Solution }}}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Chuge%7B%5Corange%7B%5Cunderline%7B%20Solution%20%7D%7D%7D%7D)
![\bold{\underline{ Given \: Rules}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cunderline%7B%20Given%20%5C%3A%20Rules%7D%7D)
- <u>The </u><u>sum</u><u> </u><u>of </u><u>the </u><u>number </u><u>in </u><u>each </u><u>of </u><u>the </u><u>four </u><u>rows </u><u>is </u><u>the </u><u>same </u>
- <u>The </u><u>sum </u><u>of </u><u>the </u><u>numbers </u><u>in </u><u>each </u><u>of </u><u>the </u><u>three </u><u>columns </u><u>is </u><u>the </u><u>same</u>
- <u>The </u><u>sum </u><u>of </u><u>any </u><u>row </u><u>does </u><u>not </u><u>equal </u><u>the </u><u>sum </u><u>of </u><u>any </u><u>column </u>
![\bold{\underline{ Let's \: Begin}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cunderline%7B%20Let%27s%20%5C%3A%20Begin%7D%7D)
<u>According </u><u>to </u><u>the </u><u>Second</u><u> </u><u>rule </u><u>:</u><u>-</u>
![\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }](https://tex.z-dn.net/?f=%5Csf%7B%2075%2Bb%2B83%3D76%2B80%2Bd%3Da%2B81%2B85%2B78%2Bc%2Be%20%7D)
![\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}](https://tex.z-dn.net/?f=%5Csf%7B%20158%20%2B%20b%20%3D%20156%20%2B%20d%20%3D%20166%20%2B%20a%20%3D%2078%20%2B%20c%20%2B%20e%20...%281%29%7D)
<u>According </u><u>to </u><u>the </u><u>first </u><u>rule </u><u>:</u><u>-</u><u> </u>
![\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}](https://tex.z-dn.net/?f=%5Csf%7B%2075%2B76%2Ba%2B78%20%3D%20b%2B80%2B81%2Bc%20%3D%2083%2B86%2Bd%2Be%7D)
![\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}](https://tex.z-dn.net/?f=%5Csf%7B%20229%20%2B%20a%20%3D%20161%20%2B%20b%20%2B%20c%20%3D%20168%20%2B%20d%20%2B%20e%20...%282%29%7D)
<u>From </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>got </u><u>:</u><u>-</u>
![\sf{ 158 + b = 166 + a, 156 + d = 166 + a }](https://tex.z-dn.net/?f=%5Csf%7B%20158%20%2B%20b%20%3D%20166%20%2B%20a%2C%20156%20%2B%20d%20%3D%20166%20%2B%20a%20%7D)
![\sf{ b = 166 - 158 + a, d = 166 - 156 + a }](https://tex.z-dn.net/?f=%5Csf%7B%20b%20%3D%20166%20-%20158%20%2B%20a%2C%20%20d%20%3D%20166%20-%20156%20%2B%20a%20%7D)
![\sf{ b = 8 + a, d = 10 + a ...(3)}](https://tex.z-dn.net/?f=%5Csf%7B%20b%20%3D%208%20%2B%20a%2C%20%20d%20%3D%2010%20%2B%20a%20...%283%29%7D)
<u>Subsitute </u><u>(</u><u>3</u><u>)</u><u> </u><u>in </u><u>(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>
![\sf{229+a = 161+8+a+c = 168+10+a+e}](https://tex.z-dn.net/?f=%5Csf%7B229%2Ba%20%3D%20161%2B8%2Ba%2Bc%20%3D%20168%2B10%2Ba%2Be%7D)
![\sf{ 229+a = 169+a+c = 178+a+e}](https://tex.z-dn.net/?f=%5Csf%7B%20229%2Ba%20%3D%20169%2Ba%2Bc%20%3D%20178%2Ba%2Be%7D)
<u>We</u><u> </u><u>can </u><u>write </u><u>it </u><u>as </u><u>:</u><u>-</u>
![\sf{ 229+a = 169+a+c \:or\:229+a = 178+a+e}](https://tex.z-dn.net/?f=%5Csf%7B%20229%2Ba%20%3D%20169%2Ba%2Bc%20%5C%3Aor%5C%3A229%2Ba%20%3D%20178%2Ba%2Be%7D)
![\sf{ c = 299-169+a-a\:or\:e = 229-178+a-a}](https://tex.z-dn.net/?f=%5Csf%7B%20c%20%3D%20299-169%2Ba-a%5C%3Aor%5C%3Ae%20%3D%20229-178%2Ba-a%7D)
![\sf{ c = 60 \: and \: e = 51 }](https://tex.z-dn.net/?f=%5Csf%7B%20c%20%3D%2060%20%5C%3A%20and%20%5C%3A%20e%20%3D%2051%20%7D)
<u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>c </u><u>and </u><u>e </u><u>in </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>
![\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }](https://tex.z-dn.net/?f=%5Csf%7B%20158%20%2B%20b%20%3D%20156%20%2B%20d%20%3D%20166%20%2B%20a%20%3D%2078%20%2B%2060%20%2B%2051%20%7D)
![\sf{ 158 + b = 156 + d = 166 + a = 189}](https://tex.z-dn.net/?f=%5Csf%7B%20158%20%2B%20b%20%3D%20156%20%2B%20d%20%3D%20166%20%2B%20a%20%3D%20189%7D)
<u>Now</u><u>, </u>
![\sf{ For \: b, 158 + b = 189 }](https://tex.z-dn.net/?f=%5Csf%7B%20For%20%5C%3A%20b%2C%20%20158%20%2B%20b%20%3D%20189%20%7D)
![\sf{ b = 189 - 158 }](https://tex.z-dn.net/?f=%5Csf%7B%20b%20%3D%20189%20-%20158%20%7D)
![\sf{ b = 31}](https://tex.z-dn.net/?f=%5Csf%7B%20b%20%3D%2031%7D)
![\sf{ For \: d , 156 + b = 189 }](https://tex.z-dn.net/?f=%5Csf%7B%20For%20%5C%3A%20d%20%2C%20%20156%20%2B%20b%20%3D%20189%20%7D)
![\sf{ d = 189 - 156 }](https://tex.z-dn.net/?f=%5Csf%7B%20d%20%3D%20189%20-%20156%20%7D)
![\sf{ d = 33}](https://tex.z-dn.net/?f=%5Csf%7B%20d%20%3D%2033%7D)
![\sf{ For \: a, 166 + a = 189 }](https://tex.z-dn.net/?f=%5Csf%7B%20For%20%5C%3A%20a%2C%20%20166%20%2B%20a%20%3D%20189%20%7D)
![\sf{ a = 189 - 166 }](https://tex.z-dn.net/?f=%5Csf%7B%20a%20%3D%20189%20-%20166%20%7D)
![\sf{ a = 23 }](https://tex.z-dn.net/?f=%5Csf%7B%20a%20%3D%2023%20%7D)
Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .
Answer:
-1/2
Step-by-step explanation:
its a negative slope
equation
y= -1/2x +3