Question

6 x minus 2 upon 5 equals to 2 x minus 1 upon 3 minus 1 upon 3​

Answer 1

Answer:

$\frac{6x - 2}{5} = \frac{2x - 1}{ \frac{3 - 1}{3} } \\ \frac{6x - 2}{5} = \frac{2x - 1}{ \frac{2}{3} } \\ \frac{6x - 2}{5} = \frac{3(2x - 1)}{2} \\ 2(6x - 2) = 15(2x - 1) \\ 12x - 4 = 30x - 15 \\ 15 - 4 = 30x - 12x \\ 11 = 18x \\ x = \frac{11}{18}$

Answer 2

The required value of x is $-\frac{1}{2}$

Step-by-step explanation:

The given equation is

$\frac{6x-2}{5}=\frac{2x-1}{3}-\frac{1}{3}$

We will first simplify the equation.

$\frac{6x-2}{5}=\frac{2x-2}{3}$

Cross multiply.

$(6x-2)\times 3=(2x-2)\times 5\\\\\Rightarrow18x-6=10x-10$

Bring the like terms together.

$\Rightarrow 18x-10x=-10+6\\\\\Rightarrow 8x=-4$

Isolate x by dividing 8 on both sides.

$\Rightarrow \frac{8x}{8}=\frac{-4}{8} \\\\\Rightarrow x=-\frac{1}{2}$

Learn More:

Solve the following equation 3 by 5 x + 2 by 5 is equal to 1 and check the answer

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