How do you simplify the expression 7x2−4y+3x2+5y+2 and evaluate it for x+3and y=9?

kaliitcri

kaliitcri

Answered

2022-02-05

How do you simplify the expression 7x24y+3x2+5y+2 and evaluate it for x+3and y=9?

Answer & Explanation

Jonathan Mckenzie

Jonathan Mckenzie

Expert

2022-02-06Added 14 answers

y=10x22
?x=3y=92
?y=x+3- No real solution
y=9- No real solutions
Explanation:
Assuming this is all equal to 0, we add like terms
10x2+y+2=0
We can then isolate one of the variables, usually y.
y=10x22
To evaluate it for x=3, just plug it into the function to get
y(3)=10(3)22=10(9)2=902=92
To solve for y=x+3 we get
x+3=10x22
10x2+x+5=0
We can use the quadratic formula to get the solutions
(1)2±(1)24(10)(5)2(10)
1±120020
1±19920
This results in undefined so there are no real solutions.
For y=9 we do the following
9=10x22
10x2=11
x2=1110
x=1110
This is also undefined, so there are no real solutions.

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