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I need the answer along with the procedure.

I Need The Answer Along With The Procedure class=

Sagot :

Answer:

A (2.5, 4 )

Step-by-step explanation:

the coordinates of A are the intersection of the 2 lines AB and AC , that is

2x + 3y = 17 → (1)

4x - y = 6 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

12x - 3y = 18 → (3)

add (1) and (3) term by term to eliminate y

14x + 0 = 35

14x = 35 ( divide both sides by 14 )

x = [tex]\frac{35}{14}[/tex] = 2.5

substitute x = 2.5 into either of the 2 equations and solve for y

substituting into (1)

2(2.5) + 3y = 17

5 + 3y = 17 ( subtract 5 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

solution is (2.5, 4 )

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