Answer:
[tex]\boxed {\boxed {\sf (4,3) \ is \ not \ a \ solution}}[/tex]
Step-by-step explanation:
If we want to test a solution, we can plug it into the equations and see if it checks out.
We are given the point (4,3). Since points are written (x,y)...
Substitute the values into the first equation.
[tex]11x+9y=17 \\11(4)+9(3)=17[/tex]
Multiply.
[tex]44+ 27=17\\[/tex]
Add.
[tex]71 \neq 71[/tex]
This does not check out, so we automatically know this point doesn't work. However, we can check the other equation.
[tex]x+y=7 \\4+3=7\\7=7[/tex]
Even though the second equation works, BOTH have to work because this is a system of equations. Therefore, (4,3) is not a solution.
