Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴ 
--- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴ 
-- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.
Let´s distribute 3 into 
and 4 into 
⇒ 
⇒ 
Subtract both side by 4x and 3
∴ 
∴ Peggy was thinking of -7
Answer:
That is the number two (2)
Step-by-step explanation:
You want to solve for 'z'.
First combine like terms on either side of the equal sign.
Left side: 9z +2 ----> No like terms, leave alone
Right side: 6z - 10 -z - 4 ----> circle like terms and add
6z -z = 5z
-10 -4 = -14
Now the equation is:
9z + 2 = 5z - 14
Get all the 'z' terms on the left side and all the numbers on right side.
You can move a term to the other side if you flip the sign.
Move 5z to left side, flip the sign to -5z
Move '2' to right side, flip the sign to -2
9z - 5z = -2 -14
Add like terms
4z = -16
Divide by 4 on both sides
z = -4
