Question

x minus 5 by 3 is equal to x minus 3 by 5 linear equation

Answer 1

Answer:

The value of the Linear Equation is x =8.

Step-by-step explanation:

• A linear equation is the first order equation. It is a mathematical statement that has the equal sign that is present between a expressions of the Algebraic form.
• The equations of the algebraic form have a equation of 1 degree and it is called as Equation of the straight line.

There are three forms of the linear Equations. They are:

1) Standard form

2) Slope intercepts form

3) Point slope form

Given that:

(x - 5) /3 = (x - 3) /5

To find:

The linear equation =?

Solution:

(x - 5)/3 = (x - 3)/5

Now, we are going to multiply both side by LCM the denominators for a denominator that is fractional.

By using the transpose variable to one side and constants is moved to the other side.

Now, the LCM of denominator will become 15.

We are going to multiply both the sides, we get,

=15[(x-5)/3]

= 15[(x-3)/5]

5x-25 = 3x-9

5x-3x = -25-9

2x= 16

X= 16/2

X=8

Therefore, the value of x is 8.

#SPJ2

Answer 2

Question: Solve the linear equation: $\frac{x-5}{3}=\frac{x-3}{5}$

Answer:

The solution of the linear equation is 8.

Step-by-step explanation:

Steps to find the value of x:-

• Collect all the like terms on one-side.
• Then, add all the like terms.
• Finally. solve for x.

Step 1 of 3

Consider the linear equation as follows:

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

Cross multiply the equation as follows:

⇒ $5(x-5)=3(x-3)$

⇒ $5x-25=3x-9$

Group the like terms on one-side as follows:

⇒ $5x-3x = 25-9$

Step 2 of 3

Add all the like terms of the right-hand side and the left-hand side.

⇒ $2x=16$

Step 3 of 3

Now, find the value of x.

Divide both the sides by the number $2$.

⇒ 2$x$/2 = 16/2

⇒ $x$ = 8

Therefore, the value of $x$ is 8.

#SPJ2