Question

35 over 6 equals negative 10 thirds(x minus 2)

Answer 1

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

Answer 2

`\text{Hey there!}`

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

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

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

`\mathsf{(-10)/(3)(x)=(-10)/(3)x}`

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

`\mathsf{Your\ equation: (35)/(6)=(-10)/(3)x+(20)/(3)}`

`\mathsf{Flip\ the\ equation\ around}`

`\mathsf{(-10)/(3)+(-10)/(3)x=(35)/(6)}`

`\mathsf{SUBTRACT\ both\ sides\ by\ (20)/(3)\ on\ both\ of\ your\ sides}`

`\mathsf{(-10)/(3)x+(20)/(3)-\frac{20}3{}=(35)/(6)-(20)/(3)}`

`\mathsf{Cancel\ out: (20)/(3)-(20)/(3)\ because\ it\ equals\ to\ 0}`

`\mathsf{(35)/(6)-(20)/(3)=(-5)/(6)}`

`\mathsf{(-10)/(3)x=(-5)/(6)}`

`\mathsf{MULITPLY\ both\ of\ your\ sides\ by\ (3)/(-10)}`

`\mathsf{(3)/(-10)*(-10)/(3)x=(3)/(-10)x*(-5)/(6)}`

`\mathsf{Cancel\ out: (3)/(-10)*(-10)/(3)\ because\ it\ gives\ us\ 1}`

`\mathsf{(3)/(-10)*(-5)/(6)=x}`

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

`\boxed{\boxed{\mathsf{Thus, \ your\ answer\ is: x=(1)/(4)}}}\checkmark`

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

~
`\frac{\frak{LoveYourselfFirst{}}}{:)}`