# How do you solve the following system?: 4x - 2y =3 , -3x - y = -6

**Solution: **

The given equations are linear equations that can be solved simultaneously for variables x and y.

Rewriting the equations:

4x - 2y = 3--------->(1)

3x + y = 6--------->(2)

Multiplying equation (2) by 2 and adding to equation (1) we have,

4x - 2y = 3

6x + 2y = 12

10x + 0 = 15

10x = 15

x = 3/2

Substituting x = 3/2 into equation (1) we have

4(3/2) - 2y = 3

6 - 2y = 3

6 - 3 = 2y

3 = 2y

y = 3/2

The variables x and y are 3/2 and 3/2 respectively.

## How do you solve the following system?: 4x - 2y =3 , -3x - y = -6

**Summary:**

After solving the following system of linear equations 4x - 2y =3 , -3x - y = -6 the value of x = 3/2 and y = 3/2.

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