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Answered

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Sarah06109idn

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)...

  • x=4
  • y=3

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.

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