Solve the system of solutions using elimination 3x - 4y = 9 and -3x + 2y = 9

Solution:

It is given that

3x - 4y = 9---->(1)

- 3x + 2y = 9

Let us use the elimination method to solve the system of linear equations.

let us eliminate x  by adding both the equations

-2y = 18

Divide both sides by 2

- y = 9

y = -9

Substituting the value of y in either of the equations

3x - 4 (-9) = 9

By further calculation

3x + 36 = 9

3x = 9 - 36

3x = -27

Divide both sides by 3

x = -9

Therefore, the solution is (-9, -9).

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Solve the system of solutions using elimination 3x - 4y = 9 and -3x + 2y = 9

Summary:

The system of solutions using elimination 3x - 4y = 9 and -3x + 2y = 9 is (-9, -9).