we have
1) systems of equations 1
2x + y = 12
x = 9 − 2y
using a graph tool
see the attached figure
the solution is the point > (5,2)
2) systems of equations 2
x + 2y = 9
2x + 4y = 20
using a graph tool
see the attached figure
the solution is the point > has no solution the two lines are parallel
3) systems of equations 3
x + 3y = 16
2x − y = 11
using a graph tool
see the attached figure
the solution is the point > (7,3)
4) systems of equations 4
y = 11 − 2x
4x − 3y = -13
using a graph tool
see the attached figure
the solution is the point > (2,7)
5) systems of equations 5
y = 10 + x > multiplying by 3> 3y=30+3x> -3x + 3y = 30
-3x + 3y = 30
equation 1 and equation 2 are equals> the system has no solution
6) systems of equations 6
2x + y = 11
x − 2y = -7
using a graph tool
see the attached figure
the solution is the point > (3,5)
Step-by-step explanation: