The <em><u>correct answer</u></em> is:
non-extraneous
Explanation:
An extraneous solution is one that we arrive at that will not work in the equation. For rational equations such as we have, extraneous solutions are ones that will cause the denominator to be 0. For ours, that would mean x=-5.
The equation we have is:
We will multiply everything by (x+5) in order to get that off the bottom of the fractions:
Multiply all terms by 5 to eliminate the fraction:
Combine like terms:
20+x = 10
Subtract 20 from each side:
20+x-20 = 10-20
x = -10
Since this is not -5, this is not an extraneous solution.
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Answer:
x= -8 , y = 5
x= 25/4 , y = 1/4
Step-by-step explanation:
substitute first eqn into the second eqn:
(7 - 3y)^2 -y^2 = 39
49 - 42y + 9y^2 - y^2 = 39
8y^2 - 42y +10 =0
4y^2 - 21y + 5 = 0
(4y-1) (y-5) = 0
y= 1/4 , 5
when y=1/4
x = 7- 3/4
=25/4
when y= 5
x = 7- 15
= -8
Answer:
4:3
Step-by-step explanation:
Let's say that the number we multiply to get to 1200 from 900 is x.
900x=1200
Now, we divide both sides by 900:
x=1200/900
x=4/3
The number is 4/3. In ratio form, this is 4:3