The solution to the given system of linear equations is x = 4, y = 20
System of linear equations
From the question, we are to determine solution to the given system of equations
The given system of equations is
x+y=6x=y+4
Thus, we can write that
x + y = 6x ----------- (1)
and
6x = y + 4 ------------(2)
Solve the two equations simultaneously
From equation (1)
x + y = 6x
y = 6x - x
y = 5x --------- (3)
Substitute into equation (2)
6x = y + 4
6x = 5x + 4
6x - 5x = 4
x = 4
Substitute the value of x into equation (3)
y = 5x
y = 5(4)
y = 20
Hence, the solution to the given system of linear equations is x = 4, y = 20
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