Answer:
P (3, - 2 )
Explanation:
Solve the equations simultaneously for point of intersection P
5x + 3y = 9 → (1)
7x - 2y = 25 → (2)
Multiplying (1) by 2 and (2) by 3 and adding will eliminate the y- term
10x + 6y = 18 → (3)
21x - 6y = 75 → (4)
add (3) and (4) term by term to eliminate y
31x + 0 = 93
31x = 93 ( divide both sides by 31 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for x
Substituting into (1)
5(3) + 3y = 9
15 + 3y = 9 ( subtract 15 from both sides )
3y = - 6 ( divide both sides by 3 )
y = - 2
Then P = (3, - 2 )