Question

1,1x-2 1//2=3/5x 6,75x=2 1/4x-9

Answer 1

11/10x-1=3/5x

11x-10=6x

11x-10=6x

11x-6x=10

5x=10

x=2

27/4x=1/2x-9

27x=2x-36

27x-2x=-36

x=-36/25

x=-1 11/25

Answer 2

To solve the equation, let's start by simplifying it step by step:

1. $1 \frac{1}{2}$ can be written as $\frac{3}{2}$.
2. $2 \frac{1}{4}$ can be written as $\frac{9}{4}$.

The equation becomes:

$1.5x - 2 = \frac{3}{5}x$

Next, we'll get rid of the decimal in $6.75x$ by multiplying both sides of the equation by 100 to eliminate the decimal point:

$100 \times (1.5x - 2) = 100 \times \frac{3}{5}x$

Now, we can solve the equation step by step:

$150x - 200 = 60x$

Let's get all the $x$ terms on one side and the constants on the other side:

$150x - 60x = 200$

$90x = 200$

Finally, solve for $x$:

$x = \frac{200}{90} = \frac{20}{9}$

So, the value of $x$ in the given equation is $\frac{20}{9}$.