Which expressions could complete this equation so that it has one solution? 4(4x - 3) - 6x
*There are two answers*
12x - 12 -2x **
9x - 12
4x + 2(3x - 6)
4(2x + 3) - 24 **
Marie has $830 in her bank account and withdraws $60 each month. Denise has $970 in her bank account and withdraws $80 each month.
In how many months will Marie and Denise have equal amounts of money in their accounts?
4 **
5
7
9
To find out which expressions could complete the equation so that it has one solution, we need to simplify the given expression first:
4(4x - 3) - 6x
To simplify, we distribute the 4 to both terms inside the parentheses:
16x - 12 - 6x
Combine like terms:
(16x - 6x) - 12
10x - 12
Now we want to find the expressions that will make this equation have only one solution. This means there would only be one value of x that satisfies the equation.
Let's evaluate the given expressions:
1. 12x - 12 - 2x:
Combine like terms:
(12x - 2x) - 12
10x - 12
This is the same as our simplified original expression.
2. 4(2x + 3) - 24:
Distribute the 4 to both terms inside the parentheses:
8x + 12 - 24
Combine like terms:
8x - 12
This expression is different from our simplified original expression.
Therefore, the answer is:
- 12x - 12 - 2x
- 4(2x + 3) - 24