Answer:
x = 23; not extraneous
Step-by-step explanation:
A solution is extraneous if it does not satisfy the original equation. Extraneous solutions can sometimes be introduced in the process of solving radical and rational function equations.
<h3>Solution</h3>
Squaring both sides of the given equation, we get ...
√(3x +12) = 9
3x +12 = 81 . . . . . . square both sides
x +4 = 27 . . . . . . . divide by 3
x = 23 . . . . . . . . . . subtract 4
<h3>Check</h3>
There is only one solution, and it satisfies the equation:
√(3×23 +12) = √81 = 9
The solution x = 23 is not extraneous.
Answer:
x=1, y=1.
Step-by-step explanation:
From the second equation:
x = 8 - 7y, so substituting for x in the first equation:
3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8 y + 1/3y = 17/24
1/3y - 21/8y = 17/24 - 3
Multiply through by 24:
8y - 21*3 y = 17 - 72
8y - 63y = -55
-55y = -55
y = 1.
And substituting for y in the second equation:
x + 7(1) = 8
x = 8 - 7
x = 1.
Answer:
The answer is -11
Step-by-step explanation:
subtract 6 from both sides.
divide both sides by the negative 4
Simplify 44/-4x
which gives you x= -11
Answer:
7040
Step-by-step explanation:
C= 2000
B = 20/100 x 2000 = 400 + 2000 = 2400
A= 10/100 x 2400 = 240+2400= 2640
2000 + 2400 + 2640 = 7040
The answer is letter B.
Here's how to evaluate the expression. Open the attached file.