We have
1) <span>
systems of equations 1</span><span>2x + y = 12
x = 9 − 2y
</span>using a graph tool
see the attached figure
the solution is the point ------------> (5,2)
2) systems of equations 2x + 2y = 9
<span>2x + 4y = 20
</span>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<span>x + 3y = 16
2x − y = 11
</span>using a graph tool
see the attached figure
the solution is the point ------------> (7,3)
4) systems of equations 4<span>y = 11 − 2x
4x − 3y = -13
</span>using a graph tool
see the attached figure
the solution is the point ------------> (2,7)
5) systems of equations 5y = 10 + x -----------> multiplying by 3-----> 3y=30+3x------> -3x + 3y = 30
<span>-3x + 3y = 30
</span>equation 1 and equation 2 are equals--------> the system has no solution
6) systems of equations 6<span>2x + y = 11
x − 2y = -7
</span>using a graph tool
see the attached figure
the solution is the point ------------> (3,5)
I think this is right, it’s been a while since I’ve done this though.
A) Translated 3 units up because the slope formula is y=mx+b when b=y-intercept