Prove that the lines x+y=5, 2x–y=16 and x+2y=3 intersect at one point. what are the coordinates of this point?

The coordinates of the intersection point are

Step-by-step explanation:

we have

-----> equation A

-----> equation B

-----> equation C    

we know that

If the system of equations intersect at one point, then the system of equations has one solution

using a graphing tool

see the attached figure

The coordinates of the intersection point are

This point is a common solution for the three equations

Verify

Substitute the value of in each equation

so

Equation A

----> is true, therefore the point is a solution of the equation A

Equation B

----> is true, therefore the point is a solution of the equation B

Equation C

----> is true, therefore the point is a solution of the equation C

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step-by-step explanation: