2x - y - 4 = 0 and 3x + y - 9 = 0, what is the solution set of the given system?

Solution:

The given set of equations are linear equations with x and y as variables.

To find the values of x and y we need to simultaneously solve the above set of equations.

Rewriting the given equations we have,

2x - y = 4 --- (1)

3x + y = 9 --- (2)

Solving (1) and (2) simultaneously we have

2x - y = 4
3x + y = 9
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5x + 0 = 13

x = 13/5 --- (3)

Substituting the value of x in equation (1) we have

2(13/5) - y = 4

26/5 - y = 4

y = (26/5) - 4

= ( 26 - 20)/5

y = 6/5

Hence, the value of x is 13/5 and value of y is 6/5.

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2x - y - 4 = 0 and 3x + y - 9 = 0, what is the solution set of the given system?

Summary

The solution set of the given system 2x - y - 4 = 0 and 3x + y - 9 = 0 is (13/5, 6/5).