Answer:
Step-by-step explanation:
y - 3 = ( x - 1 )² ⇔ y = ( x - 1 )² + 3 ⇔ Shift graph of y = x² one unit to the right and three units up.
2x + y = 5 ⇔ y = - 2x + 5 ; To graph this line mark ( 0 , 5 ) and ( 1 , 3 ) on coordinate plane and draw the line through those dots.
Two graphs intersect at ( - 1 , 7 ) and ( 1 , 3 ) .
Thus, system of equation has two solutions:
[tex]x_{1}[/tex] = - 1 , [tex]y_{1}[/tex] = 7
and
[tex]x_{2}[/tex] = 1 , [tex]y_{2}[/tex] = 3
