What is the solution of this system of linear equations? 3y = x + 6, y- x = 3 

Solution:

Given, the equations are

3y = x + 6 --- (1)

y - x = 3 --- (2)

We have to find the solution to this system of linear equations.

From equation (2),

x = y - 3

Put the value of x in (1),

3y = y - 3 + 6

3y - y = 3

2y = 3

y = 3/2

Put y = 3/2 in (2)

3/2 - x = 3

3/2 - 3 = x

(3 - 6)/2 = x

x = -3/2

Therefore, the solution is (-3/2, 3/2).

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What is the solution of this system of linear equations? 3y = x + 6, y- x = 3 

Summary:

The solution of this system of linear equations 3y = x + 6, y- x = 3 is (-3/2, 3/2).