Question

7.

What is the value of x in the equation –x = 3 – 4x + 6? (5 points)


–9
–3
3
9
8.
How many solutions does the equation 4n + 6 = 4 + 2 + 4n have? (5 points)


Two
Many
None
One

Answer 1

7.
add like terms
-x=-4x+9
add 4x to both sides
3x=9
divide by 3 both sides
x=3



8.
add like terms
4n+6=6+4n
minus 6 bot sides
4n=4n
divide by 4
n=n
inifnite solutions

so many

Answer 2

7.
-x=3-4x+6
Combine like terms
-x=9-4x
Add 4x to both sides
-x+4x=9-4x+4x
3x=9
Divide both sides by 3
3x/3=9/3
x=3

8. 4n+6=4+2+4n
Combine like terms
4n+6=6+4n
Subtract 6 from both sides
4n+6-6=6+4n-6
4n=4n
Divide both sides by 4
4n/4=4n/4
n=n
All real numbers are solutions or Many because you can enter any number as n and equal itself.
Example if Nwas 5
simplified the equation would be 5=5 which is true,
Hope this helped!