3x – 5y – 4 = 0 and 9x = 2y + 7; Solve It With the Elimination Method

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Solving 3x – 5y – 4 = 0 and 9x = 2y + 7 using elimination method, the value of x is 9/13.

The x value is 9/13 by solving 3x – 5y – 4 = 0 and 9x = 2y + 7 using elimination method.

3x – 5y – 4 = 0

On rearranging we get

3x – 5y = 4 ….. (1)

9x = 2y + 7

On rearranging we get

9x – 2y = 7 …. (2)

Multiplying (i) with 3 we get:

9x – 15y = 12

We get y = -5/13

Substituting the value of y in the equation.

9x – 2 (-5/13) = 7

By further calculation

9x + 10/13 = 7

9x = 7 – 10/13

So we get

9x = 81/13

On simplifying we get

x = 9/13

Table of content

1. 3x – 5y – 4 = 0 and 9x = 2y + 7; Solve It With the Elimination Method

Elimination Method

One method for resolving a system of linear equations is the elimination method. In this approach, the equation in one variable is obtained by either adding or subtracting the equations. We can add the equation to delete a variable if its coefficients are the same and have the opposite sign from the other variables. Similar to this, we can subtract the equation to get the equation in one variable if the coefficients of one of the variables are the same and their signs are the same.

Therefore, the value of x is 9/13

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