Step-by-step explanation:
Add both equations up.
(2x + 3y) + (x - 3y) = 11 + 1
3x = 12
x = 4
Now we can find y.
x - 3y = 1
4 - 3y = 1
y = 1
A system of equations is a finite collection of equations for which common solutions are sought. The solution of the given system of equation is at (4,1).
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 given system of linear equation can be solved as shown below.
Solve the one of the two equations in terms of x,
x - 3y = 1
x = 1 + 3y....... equation A
Substitute the value of x form equation A, in other given equation,
2x + 3y = 11
2(1 + 3y) + 3y = 11
2 + 6y + 3y = 11
6y + 3y = 11 - 2
9y = 9
y = 9/9
y = 1
Substitute the value of y in equation A to get the value of x,
x = 1 + 3y
x = 1 + 3(1)
x = 1 + 3
x = 4
Hence, the solution of the given system of equation is at (4,1).
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