How many solutions does the system have? x=y2 3x+3y=6
Mathematics
gyasij29
Question
How many solutions does the system have?
x=y2
3x+3y=6
x=y2
3x+3y=6
1 Answer

1. User Answers gmany
Answer:
Infinitely many solutions.
Stepbystep explanation:
[tex]\left\{\begin{array}{ccc}x=y2&(1)\\3x+3y=6&(2)\end{array}\right\qquad\text{substitute (1) to (2)}\\\\3(y2)+3y=6\qquad\text{use the distributive property}\\3y+6+3y=6\qquad\text{combine like terms}\\(3y+3y)+6=6\\6=6\qquad\bold{TRUE}\\\\\text{That is why the system of equations has infinitely many solutions.}[/tex]