Answer:
2. Y=4x
3. Y=3x
Step-by-step explanation:
Divide Y by X.
3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1
Answer: 1/(4a^2) + 1/(3a) + 1/9
Step-by-step explanation:
= (1/2a + 1/3)(1/2a + 1/3)
= 1/(4a^2) + 1/(6a) + 1/(6a) + 1/9
= 1/(4a^2) + 2/(6a) + 1/9
= 1/(4a^2) + 1/(3a) + 1/9
Answer:
Step-by-step explanation:
The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.
__
The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.
A function of its own inverse returns the original value:
