If 2x + y = 4 and 3x - 2y = 13, then x = ?

Solution:

Given, the equations are

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

3x - 2y = 13 --- (2)

We have to find the value of x.

From (1),

y = 4 - 2x

Put the value of y in (2)

3x - 2(4 - 2x) = 13

3x - 8 + 4x = 13

By grouping,

3x + 4x = 13 + 8

7x = 21

x = 21/7

x = 3

Therefore, the value of x is 3.

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If 2x + y = 4 and 3x - 2y = 13, then x = ?

Summary:

If 2x + y = 4 and 3x - 2y = 13, then x = 3.