The solutions to the system of equations are (5,2), no solutions, (7,3), (2,7), no solutions and (3,5) respectively.
What is the system of equations?
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
(1) Systems of equations
2x + y = 12
x = 9 − 2y
See the graph given below the solution is the point (5,2).
(2) Systems of equations
x + 2y = 9
2x + 4y = 20
See the graph given below the solution is the point has no solution the two lines are parallel.
(3) Systems of equations
x + 3y = 16
2x − y = 11
See the graph given below the solution is the point (7,3).
(4) Systems of equations
y = 11 − 2x
4x − 3y = -13
See the graph given below the solution is the point (2,7).
(5) Systems of equations
y = 10 + x
-3x + 3y = 30
See the graph given below the system has no solutions.
(6) systems of equations
2x + y = 11
x − 2y = -7
See the graph given below the solution is the point (3,5).
Therefore, the solutions to the system of equations are given below in the figure.
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