Mathematics
28.09.2020 18:12
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35 over 6 equals negative 10 thirds(x minus 2)

35 over 6 equals negative 10 thirds(x minus 2)
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alysonmariefont
alysonmariefont
5,0(24 marks)
When you solve for “x”, you must complete the opposite function on both sides of the equals sign to cancel values out and isolate “x”

For example:
x+2=3
It’s
x+2-2=3-2
x=1

In this equation:
35/6 = -10/3(x-2)
35/6 divided by -10/3 = x-2
Now to divide these fractions, find the inverse of one fraction and multiply them together (-10/3 inverse is 3/-10):
35/6 • 3/-10 = x-2
105/-60 = x-2
-1.75 = x-2
-1.75 + 2 = x
0.25 = x
korireidkdotdot82021
korireidkdotdot82021
4,6(71 marks)

\text{Hey there!}

\mathsf{\dfrac{35}{6}=\dfrac{-10}{3}(x-2)}

\mathsf{Simplify\ both\ sides\ of\ your\ sides}

\mathsf{\dfrac{35}{6}=\dfrac{-10}{3}(x-2)}

\mathsf{\dfrac{-10}{3}(x)=\dfrac{-10}{3}x}

\mathsf{\dfrac{-10}{3}(-2)=\dfrac{20}{3}}

\mathsf{Your\ equation: \dfrac{35}{6}=\dfrac{-10}{3}x+\dfrac{20}{3}}

\mathsf{Flip\ the\ equation\ around}

\mathsf{\dfrac{-10}{3}+\dfrac{-10}{3}x=\dfrac{35}{6}}

\mathsf{SUBTRACT\ both\ sides\ by\ \dfrac{20}{3}\ on\ both\ of\ your\ sides}

\mathsf{\dfrac{-10}{3}x+\dfrac{20}{3}-\dfrac{20}3{}=\dfrac{35}{6}-\dfrac{20}{3}}

\mathsf{Cancel\ out: \dfrac{20}{3}-\dfrac{20}{3}\ because\ it\ equals\ to\ 0}

\mathsf{\dfrac{35}{6}-\dfrac{20}{3}=\dfrac{-5}{6}}

\mathsf{\dfrac{-10}{3}x=\dfrac{-5}{6}}

\mathsf{MULITPLY\ both\ of\ your\ sides\ by\ \dfrac{3}{-10}}

\mathsf{\dfrac{3}{-10}\times\dfrac{-10}{3}x=\dfrac{3}{-10}x\times\dfrac{-5}{6}}

\mathsf{Cancel\ out: \dfrac{3}{-10}\times\dfrac{-10}{3}\ because\ it\ gives\ us\ 1}

\mathsf{\dfrac{3}{-10}\times\dfrac{-5}{6}=x}

\mathsf{SOLVE\ above\ \uparrow\ and\ you\ have\ the\ value\ of\ x}

\boxed{\boxed{\mathsf{Thus, \ your\ answer\ is: x=\dfrac{1}{4}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst{}}}{:)}

victoria02117
victoria02117
5,0(61 marks)

x= 5a -3/9

Step-by-step explanation:

-5a+9x=-27

9x=5a-27

x= 5a-27÷9

x= 5a - 27×1/9

x= 5a -3/9

Hope this helps

Keep Smiling :)

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