A set of simultaneous linear equations is known as a system of equations. The solution to the system of equations x+y=6 and x=y+4 is (5,1).
What is a System of equations?
A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.
The solution of the two of the system of equations can be found as shown below.
For the two of the given equation, x+y=6 and x=y+4, substitute the value of x from the equation x=y+4 in the equation x+y=6. Therefore,
x + y = 6
y + 4 + y = 6
2y = 6 - 4
2y = 2
y = 2/2
y = 1
Substitute the value of y in the equation x=y+4,
x = y + 4
x = 1 + 4
x = 5
Hence, the solution to the system of equations x+y=6 and x=y+4 is (5,1).
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