Which coordinate pair is a solution to the following system? A- (0.20) B-(1,-3) C(5,5) D-(13,20

Answer:
x=5/2, y=0 & x=5, y=5. So the answer is C).
Step-by-step explanation:
2x^2-13x+20=2x-5
2x^2-13x-2x+20-(-5)=0
2x^2-15x+20+5=0
2x^2-15x+25=0
factor out the trinomial
(2x-5)(x-5)=0
zero property
2x-5=0, x-5=0
2x=0+5=5, 2x=5, x=5/2
x=0+5=5
y=2(5/2)-5=5-5=0
y=2(5)-5=10-5=5