Question

X-9/x-5=5/7
Please find this equation

Answer 1

Required solution : $x=19$

To find:

The solution for $\dfrac{x-9}{x-5}=\dfrac{5}{7}$

Step-by-step explanation:

Here, $\dfrac{x-9}{x-5}=\dfrac{5}{7}$

Step 1.

Doing cross multiplication, we get

$7(x-9)=5(x-5)$

Step 2.

Using $a(b-c)=a\times b-a\times c$, we get

$7x-63=5x-25$

Step 3.

Taking variables in left hand side and constants in right hand side, we get

$7x-5x=63-25$

Step 4.

Performing subtraction, we get

$2x=38$

Step 5.

Dividing both sides by $2$, we get

$x=19$

Thus the required solution is $x=19$.

Verification:

Putting $x=19$ in left hand side of the given equation, we have

$\dfrac{19-9}{19-5}=\dfrac{10}{14}=\dfrac{5}{7}$

which is the right hand side of the given equation.

Thus our solution is correct.

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