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 )
