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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